Sequences and Series PYQs - Last 10 Years

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Practice 20 BITSAT 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.

20

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Mathematics / Algebra

2020-2025

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15

Last 5 Years

2021-2025

20

Last 10 Years

2016-2025

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2020

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15 in last 5 years20 in last 10 years

Last 10 Years Sequences and Series Questions

Showing 20 of 20 filtered questions.

1Sequences And Series

If $a, b, c, d$ be four positive unequal quantities and $s=a+b+c+d$, then $(s-a)(s-b)(s-c) (s-d)>k a b c d$. Then, value of $k$ is

2Sequences And Series

For three numbers $a, b, c$ between 2 and 18 such that their sum is 25 , the numbers $2, a, b$ are in AP and the numbers $b, c, 18$ are in GP Then, the value of $a+b+c$ is

3Sequences And Series

The coefficient of $x^n$ in the expansion of $\frac{1-a x-x^2}{e^x}$ is

4Sequences And Series

If $ \sum\limits_{k=1}^{n} k(k+1)(k-1)=p n^{4}+q n^{3}+t n^{2}+s n $, where $ p, q, t $ and $ s $ are constants, then the value of $ s $ is equal to

5Sequences And Series

There are four numbers of which the first three are in GP and the last three are in AP, whose common difference is 6 . If the first and the last numbers are equal, then two other numbers are

6Sequences And Series

The coefficient of $ x^{n} $ in the expansion of $ \frac{e^{7 x}+e^{x}}{e^{3 x}} $ is

7Sequences And Series

If $ a > 0, b > 0, c > 0 $ and $ a, b, c $ are distinct, then $ (a+b)(b+c)(c+a) $ is greater than

8Sequences And Series

Given, a sequence of 4 numbers, first three of which are in GP and the last three are in AP with common difference 6. If first and last term of this sequence are equal, then the last term is

9Sequences And Series

If \(a_1, a_2, \ldots, a_n\) are in HP, then the expression \(a_1 a_2+a_2 a_3+\ldots+a_{n-1} a_n\) is equal to

10Sequences And Series

Let \(\frac{1}{16}, a\) and \(b\) be in GP and \(\frac{1}{a}, \frac{1}{b}, 6\) be in AP, where \(a, b>0\). Then, \(72(a+b)\) is equal to

11Sequences And Series

In a sequence of 21 terms, the first 11 terms are in AP with common difference 2 and the last 11 terms are in GP with common ratio 2. If the middle term of AP be equal to the middle term of the GP, then the middle term of the entire sequenc...

12Sequences And Series

Let a1, a2, a3 .... be a harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an < 0, is

13Sequences And Series

Let a1, a2, ...... a40 be in AP and h1, h2, ..... h10 be in HP. If a1 = h1 = 2 and a10 = h10 = 3, then a4h7 is

14Sequences And Series

Sum of n terms of the infinite series
1.32 + 2.52 + 3.72 + ..... \(\infty\) is

15Sequences And Series

If a + 2b + 3c = 12, (a, b, c \(\in\)R+), then the maximum value of ab2c3 is

16Sequences And Series

The value of the sum \(\sum\limits_{k = 1}^\infty {\sum\limits_{n = 1}^\infty {{k \over {{2^{n + k}}}}} }\) is

17Sequences And Series

Given that x, y, and z are three consecutive positive integers and x \(-\) z + 2 = 0, what is the value of \({1 \over 2}{\log _e}x + {1 \over 2}{\log _e}z + {1 \over {2xz + 1}} + {1 \over 3}{\left( {{1 \over {2xz + 1}}} \right)^3} + ...\)?

18Sequences And Series

If one GM, g and two AM's p and q are inserted between two numbers a and b, then (2p \(-\) q) (p \(-\) 2q) is equal to

19Sequences And Series

If p, q, r are in AP and are positive, the roots of the quadratic equation px2 + qx + r = 0 are all real for

20Sequences And Series

If a1, a2, a3, ......., a20 are AM's between 13 and 67, then the maximum value of a1, a2, a3, ......, a20 is equal to