Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.1>Q 11

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

Consider an $AP$ with first term $a$ and common difference $d$ . Let $S_{k}$ denotes the sum of first $k$ terms. If $\frac{S_{k x}}{S_{x}}$ is independent of $x,$ then

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Important Questions on Sequence and Series

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.1>Q 12

If

a_{1}, a_{2}, a_{3}, \dots

are in

AP

such that

a {}_{1}+ a_{5} + a_{10} + a_{15} + a_{20} + a_{24} = 225

, then

a_{1} + a_{2} + a_{3} + \dots + a_{23} + a_{24}

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.1>Q 13

If the numbers

a, b, c, d, e

are in

AP,

then the value

a - 4 b + 6 c - 4 d + e

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.1>Q 14

Sum of

n

terms of the series

\frac{1}{\sqrt{2} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{11}} + \dots

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.2>Q 1

The common ratio of a

GP

having

10^{th}

term and

1^{st}

term equal to

1536

and

- 3

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.2>Q 2

Any geometric series can be summed till infinite number of terms by the formula

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.2>Q 3

If

x, 2 x + 2

and

3 x + 3

are in

GP,

then the

4^{th}

term is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.2>Q 4

If

1, x, y, z

and

2

are in

GP,

then

x y z

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.2>Q 5

Which term of the sequence

2, 1, 2^{- 1}, 4^{- 1}, 8^{- 1}, \dots

is

\frac{1}{128}

?