Sequences and Series PYQs - Last 5 Years

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MathematicsAlgebra2022-2026

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Practice 26 COMEDK Mathematics questions from Sequences and Series. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Mathematics / Algebra

2022-2026

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2022-2026

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Last 5 Years Sequences and Series Questions

Showing 26 of 26 filtered questions.

1Sequences And Series

Let ' $\boldsymbol{a}$ ' and ' $\mathbf{b}$ ' be two numbers where $\boldsymbol{a}<\boldsymbol{b}$. The geometric mean of these numbers exceeds the smaller number by 12 and the arithmetic mean is smaller than the larger number by 24 . Then ...

2Sequences And Series

The product of three numbers in geometric progression is 8 and the sum of the product of the numbers taken in pairs is 14 . Find the numbers.

3Sequences And Series

If $\boldsymbol{k}$ is the arithmetic mean of two given quantities and $\boldsymbol{p}, \boldsymbol{q}$ are the geometric means between the same two quantities, then $\boldsymbol{p}^{\mathbf{3}}+\boldsymbol{q}^{\mathbf{3}}$ is:

4Sequences And Series

Every term of a geometric progression is positive, and every term is the sum of the two preceding terms. Then the common ratio of the geometric progression is:

5Sequences And Series

The digits of a three-digit number taken in an order are in geometric progression. If one is added to the middle digit, they form an arithmetic progression. If 594 is subtracted from the number, then a new number with the same digits in rev...

6Sequences And Series

$0.2+0.22+0.022+\ldots \ldots \ldots$. up to $n$ terms is equal to

7Sequences And Series

A geometric progression consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying the odd places, then the common ratio of the geometric progression is

8Sequences And Series

Given that n number of arithmetic means are inserted between two pairs of numbers $a, 2 b$ and $2 a, b$; where $a, b \in R$. If the $m^{\text {th }}$ means in the two cases are the same, then the ratio $a: b$ is equal to

9Sequences And Series

The terms of an infinitely decreasing geometric progression in which all the terms are positive, the first term is $\mathbf{4}$, and the difference between third and fifth term is $\frac{32}{81}$, then which of the following is not true

10Sequences And Series

A geometric progression consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio of the G.P is

11Sequences And Series

\((32) \times(32)^{\frac{1}{6}} \times(32)^{\frac{1}{36}} \times-----\infty \text { is equal to }\)

12Sequences And Series

Given \(a, b, c\) are three unequal numbers such that \(\mathrm{b}\) is arithmetic mean of \(a\) and \(c\) and \((b-a),(c-b), a\) are in geometric progression. Then \(a: b: c\) is

13Sequences And Series

If two positive numbers are in the ratio \(3+2 \sqrt{2}: 3-2 \sqrt{2}\), then the ratio between their A.M (arithmetic mean) and G.M (geometric mean) is

14Sequences And Series

Consider an infinite geometric series with first term '\(a\)' and common ratio '\(r\)'.
If the sum of infinite geometric series is 4 and the second term is \(\frac{3}{4}\) then

15Sequences And Series

A number consists of three digits in geometric progression. The sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of left hand and middle digits is two third of the sum of the middle and right hand d...

16Sequences And Series

The sum of first three terms of a geometric progression is 16 and the sum of next three terms is 128 . The sum to \(\mathrm{n}\) terms of the geometric progression is

17Sequences And Series

The sum of four numbers in a geometric progression is 60 , and the arithmetic mean of the first and the last number is 18 . Then the numbers are

18Sequences And Series

\(\text { If } 6^{\text {th }} \text { term of a geometric progression is }-\frac{1}{32} \text { and } 9^{\text {th }} \text { term is } \frac{1}{256} \text { then } r \text { is }\)

19Sequences And Series

Le \(x\) be the arithmetic mean and \(y, z\) be the two geometric means between any two positive numbers, then \(\frac{y^3+z^3}{x y z}=\) -----------

20Sequences And Series

If three numbers \(a, b, c\) constitute both an A.P and G.P, then

21Sequences And Series

If the sum of 12th and 22nd terms of an AP is 100, then the sum of the first 33 terms of an \(\mathrm{AP}\) is

22Sequences And Series

The value of \(\frac{1}{2 !}+\frac{2}{3 !}+\ldots+\frac{99}{100 !}\) is equal to

23Sequences And Series

The sum of \(n\) terms of the series, \(\frac{4}{3}+\frac{10}{9}+\frac{28}{27}+\ldots\) is

24Sequences And Series

Total number of elements in the power set of A containing 17 elements is

25Sequences And Series

The first and fifth terms of an A.P. are \(-14\) and 2 respectively and the sum of its n terms is 40. The value of n is

26Sequences And Series

If \(S = {{{2^2} - 1} \over 2} + {{{3^2} - 2} \over 6} + {{{4^2} - 3} \over {12}}\, + \,...\) upto 10 terms, then S is equal to