# Sequence and series tough questions

Here the series is a multiplication series. Which number would replace underline mark in the series? Look at the series 4, 7, 6, 9, 8, 11, 10…. What number should come next? Look at this series: 3, 4, 7, 8, 11, 12. This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on. Now The series is 3, 4, 7, 8, 11, In this simple subtraction series, each number is 6 less than the previous number. In this simple addition series, each number is 5 greater than the previous number.

Find the missing number in the following series. The difference odd the two consecutive numbers are 1, 4, 9, 16, 25, Find the wrong number in the series. So our wrong number is Look at this series: 14, 28, 20, 40, 32, 64. This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8. Students can learn and improve on their skillset for using Sequence and Series Questions and Solutions : Logical Reasoning effectively and can also prepare for competitive examinations like They are explained in elaborated manner to get clear subject knowledge.

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Toggle navigation. Show Answer. Answer: Option 'A' Here the series is a multiplication series. What will be the next term in? Answer: Option 'A' Answer: Option 'D' Answer: Option 'C' This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

Answer: Option 'B' In this simple subtraction series, each number is 6 less than the previous number. Answer: Option 'A' In this simple addition series, each number is 5 greater than the previous number. Answer: Option 'D' The difference odd the two consecutive numbers are 1, 4, 9, 16, 25, Prove that. Find x in terms of Y and Z separately. Find the ratio of the mth term and nth term. Prove that the ratio never contains. Even Numerator and Denominator for any value of m and n, where m and n are positive integers.

Derivative of u and v with respect to its independent variables. Find the ratio between common difference and first term. Prove that the above ratio is negative for any value of n if.

Find the nth term of the above sequence. Find the sum to n terms of the above sequence. Find the sum till 20 terms. Find the ratio of a for the first 10 terms.

## Questions tagged [sequences-and-series]

Find the value of Y. Find f x. Find the inverse function of f x. Find the nth term. Find the sum of first n terms. Find the ratio of 5 t h term and 10 t h term. Find the nth term of the Series b. Find S for the first n terms c. Find S for first 20 terms using a d. Learn more about Scribd Membership Home. Read Free For 30 Days. Much more than documents. Discover everything Scribd has to offer, including books and audiobooks from major publishers.

Start Free Trial Cancel anytime. Uploaded by sriramaniyer. Document Information click to expand document information Description: good sums on sequences from Head,dept of mathematics, ib programs, mumbai.

Date uploaded Dec 19, Did you find this document useful? Is this content inappropriate? Report this Document. Description: good sums on sequences from Head,dept of mathematics, ib programs, mumbai.

Flag for inappropriate content. Download Now. For Later.T he sequences and series topics includes arithmetic progression APand geometric progression GP.

In addition, you may also find questions on series and sequences that are not part of either of these 3 progressions - likely to find such questions in CAT and GMAT.

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These aptitude practice questions given below have detailed explanations, and in some cases video explanations. The quantitative reasoning questions have classified on the basis of the concept tested in the question. The level of difficulty of the question is also marked to help you gauge the question. What is the sum of all positive integers up towhich are divisible by 5 and are not divisible by 2?

The sum of the three numbers in A. P is 21 and the product of the first and third number of the sequence is What are the three numbers? A piece of equipment cost a certain factoryThe sum of third and ninth term of an A. Find the sum of the first 11 terms of the progression. The sum of the four numbers is divisible by:. Two travelers set out on a long odyssey. The first traveler starts from city X and travels north on a certain day and covers 1 km on the first day and on subsequent days, he travels 2 km more than the previous day.

After 3 days, a second traveler sets out from city X in the same direction as the first traveler and on his first day he travels 12 km and on subsequent days he travels 1 km more than the previous day. On how many days will the second traveler be ahead of the first?

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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Then are the following true:. I hope this will be helpful. The other answer is NO : you can prove it by regrouping the terms differently, with inequalities the other way around :. Sign up to join this community.

The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Tricky sequences and series problem Ask Question.

### Sequences & Series

The Overflow Blog. Socializing with co-workers while social distancing. Featured on Meta.Now we will investigate what may happen when we add all terms of a sequence together to form what will be called an infinite series. The old Greeks already wondered about this, and actually did not have the tools to quite understand it. This is illustrated by the old tale of Achilles and the Tortoise. Achilles can run 10 yards per second, the tortoise only 5 yards per second.

The track is yards long. Achilles, being a fair sportsman, gives the tortoise 10 yard advantage. Who will win? Both start running, with the tortoise being 10 yards ahead. After one second, Achilles has reached the spot where the tortoise started. The tortoise, in turn, has run 5 yards. Achilles runs again and reaches the spot the tortoise has just been.

The tortoise, in turn, has run 2. Achilles runs again to the spot where the tortoise has just been. The tortoise, in turn, has run another 1. This continuous for a while, but whenever Achilles manages to reach the spot where the tortoise has just been a second ago, the tortoise has again covered a little bit of distance, and is still ahead of Achilles.

Hence, as hard as he tries, Achilles only manages to cut the remaining distance in half each time, implying, of course, that Achilles can actually never reach the tortoise.

So, the tortoise wins the race, which does not make Achilles very happy at all. What is wrong with this line of thinking? Now we want to take the limit as n goes to infinity to find out when the distance between Achilles and the tortoise is zero.

But that involves adding infinitely many numbers in the above expression for the time, and we the Greeks and Zeno don't know how to do that. However, if we define. Now s n is a simple sequence, for which we know how to take limits. Hence, we have - mathematically correctly - computed that Achilles reaches the tortoise after exactly 2 seconds, and then, of course passes it and wins the race.

A much simpler calculation not involving infinitely many numbers gives the same result:. Of course, Achilles will finish the race after 10 seconds, while the tortoise needs 18 seconds to finish, and Achilles will clearly win.Difficulty Popularity What are the next three numbers in this series? Difficulty Popularity What is the next number in this Sequence? Difficulty Popularity Replace the? Difficulty Popularity What is the next number in this sequence?

To get from 4 to 12, you use the following formula. Difficulty Popularity Find next number in the series 23 21 24 19 26 15 28 11 30 7 36? Difficulty Popularity Can you find the next letter in the series?

The answer is C. These are letter of the question asked in reverse order. Difficulty Popularity Can you find the last number in the below sequence 3710111217? Difficulty Popularity What number would replace the question mark in this quite difficult number sequence? Difficulty Popularity Which number comes next in the series 5 12 24 36?

Difficulty Popularity What is the next number in the sequence. Hard Number Series Questions. View Answer Discuss. Solution:The series lists numbers that are flanked by two prime numbers. Solution: list of consecutive numbers that does not contain a 'T' in the spelling. Solution: Solution: The answer is C. Solution: 20 Twenty : when you write themthese are only numbers having vowel 'E'. Submit your Email Address to get latest post directly to your inbox.

Latest Puzzles 16 April. Cipher Word Brain Teaser Below, some codes are given and the mean Move Three Matchsticks Puzzle Can you create two rectangles in the givDifficulty Popularity Find next number in the series 23 21 24 19 26 15 28 11 30 7 36? Difficulty Popularity Replace the? Difficulty Popularity What are the next two letters in the following series and why?

A and W. The letters are the first letters of the words in the question. Thus, the next two letters are A and W. Difficulty Popularity In which direction should the missing arrow point? South The series: south, east, north, south, west, east spirals clockwise from the top left-hand corner. Difficulty Popularity Can you find the last number in the below sequence 3710111217?

Difficulty Popularity Which number comes next in the series 5 12 24 36? Difficulty Popularity I am a formed by ten letters. Next 3 letters represent a lady. I can fly as well. What am I searching for? Difficulty Popularity Find the next number in the sequence?

Difficulty Popularity Use the logical reasoning to find out the missing piece in the picture given with this question. Find the logic in the figure given and find out the missing one.

The upside-down spade is used to the left of a right-side-up heart every time. Hard Sequences. View Answer Discuss. Solution: list of consecutive numbers that does not contain a 'T' in the spelling. Solution: A and W.

Solution: '2' This single sequence in fact consists of two Series: The first Series is Solution: South The series: south, east, north, south, west, east spirals clockwise from the top left-hand corner. Solution: 20 Twenty : when you write themthese are only numbers having vowel 'E'. Solution: Kingfisher. Solution: 97 Explanation: Difference between number sequence is below: 9,14,19,24,29 Now the difference between above sequence is 5. Submit your Email Address to get latest post directly to your inbox. Latest Puzzles 17 April. Cipher Word Brain Teaser Below, some codes are given and the mean Move Three Matchsticks Puzzle Can you create two rectangles in the giv