Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 19

HARD

CAT

IMPORTANT

Earn 100

The sum of all the terms of the $AP 7, 10, 13, \dots /$ is $1242,$ where $/$ is the last term of the $AP$ Find the value of $/ .$

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Important Questions on Sequence, Series & Progressions

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 21

How many terms are there in

AP

whose first and fifth terms are

- 14

and

2

respectively and the sum is

40 :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 22

The first and last terms of an

AP

are

- 7

and

233

and the sum of the

AP

is

9153 .

Find the number of terms in the

AP :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 23

The sum of three numbers in

AP

is

12

and sum of their cubes is

408 .

Find the product of the numbers:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 24

The series of natural numbers is written as follows :

Question Image

Find the sum of the numbers in the $nth$ row :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 26

The ratio of the

7 th

to the

3 rd

terms of an

AP

is

12 : 5,

find the ratio of the

13 th

to

4 th

term :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 27

Find the sum of the first hundred even natural numbers divisible by

5

?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 28

If

m

times the

mth

term of an

AP

is equal to

n

times its

nth

term, find

(m + n) th

term of the

AP :

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 18 - SNAP>CMAT>Q 29

The sum of the first fifteen terms of an

AP

is

105

and the sum of the next fifteen terms is

780 .

Find the common difference of

AP :