New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2025 · 7 Apr · Shift 2 · Q29

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sequences and Series
2025 · 7 Apr · Shift 2 · Q29

Sequences and Series question

2025 · 7 Apr · Shift 2 · Q29

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

a_n

be the

n^{th}

term of an A.P. If

S_n = a_1 + a_2 + a_3 + \ldots + a_n = 700

,

a_6 = 7

and

S_7 = 7

, then

a_n

is equal to :

A
65
B
56
C
70
D
64

More from Sequences and Series

If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309, then the sum of its first nine terms is :2025 · MCQ
If $\frac{1}{1 ^{4}} + \frac{1}{2 ^{4}} + \frac{1}{3 ^{4}} + \dots \infty = \frac{π ^{4}}{90}$ , $\frac{1}{1 ^{4}} + \frac{1}{3 ^{4}} + \frac{1}{5 ^{4}} + \dots \infty = α$ , $\frac{1}{2 ^{4}} + \frac{1}{4 ^{4}} + \frac{1}{6 ^{4}} + \dots \infty = β$ , then $\frac{α}{β}$ …2025 · MCQ
Let $a_{1}, a_{2}, a_{3}, \dots$ be a G.P. of increasing positive terms. If $a_{1} a_{5} = 28$ and $a_{2} + a_{4} = 29$ , then $a_{6}$ is equal to:2025 · MCQ
Suppose that the number of terms in an A.P. is $2 k, k \in N$ . If the sum of all odd terms of the A.P. is 40 , the sum of all even terms is 55 and the last term of the A.P. exceeds the first term by 27 , then k is equal to:2025 · MCQ
If the first term of an A.P. is 3 and the sum of its first four terms is equal to one-fifth of the sum of the next four terms, then the sum of the first 20 terms is equal to2025 · MCQ
The roots of the quadratic equation $3 x^{2} - p x + q = 0$ are $1 0^{th}$ and $1 1^{th}$ terms of an arithmetic progression with common difference $\frac{3}{2}$ . If the sum of the first 11 terms of this arithmetic progression is…2025 · Numerical
Let $S_{n} = \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \dots$ upto $n$ terms. If the sum of the first six terms of an A.P. with first term -p and common difference p is $2026 S_{2025}$ , then the absolute difference…2025 · MCQ
In an arithmetic progression, if $S_{40} = 1030$ and $S_{12} = 57$ , then $S_{30} - S_{10}$ is equal to :2025 · MCQ