Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 3 - Sequence and Series>Work Book Exercise 3.1>Q 5

EASY

JEE Advanced

IMPORTANT

Earn 100

If the sum of three numbers of an $AP$ is $24$ , then middle term is

50% studentsanswered this correctly

Important Questions on Sequence and Series

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 6

The sum of the integers from

1

to

100

that are divisible by

2

or

5

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 7

If

N

which is the set of natural numbers, is partitioned into subsets

S_{1} = \{1\}

,

S_{2} = \{2, 3\}, S_{3} = \{4, 5, 6\} . . .,

then the sum of the members in

S_{50}

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 8

If

\frac{3 + 5 + 7 + \dots + n terms}{5 + 8 + 11 + \dots + 10 terms} = 7

, then the value of

n

is

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 9

The sum of the first ten terms of an

AP

is four times the sum of the first five terms, then the ratio of the first term to the common difference is

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 10

If

p, q

and

r

are in

AP

, then

p^{3} + r^{3} - 8 q^{3}

is equal to

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 11

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

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