CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 22

HARD

10th CBSE

IMPORTANT

Earn 100

The sum of first $q$ terms of an $A P$ is $63 q - 3 q^{2}$ . If its $p^{th}$ term is $- 60$ , find the value of $p$ . Also, find the $11^{th}$ term of its $A P$ .

Important Questions on Arithmetic Progressions

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 23

lf the sum of

p

terms of an AP is

q

and the sum of

q

terms is

p

, show that the sum of

\Rightarrow - 6 p + 66 = - 60

terms is

- (p + q)

.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 24

If the ratio of the sum of first

n

terms of two AP's is

(7 n + 1) : (4 n + 27),

find the ratio of their

9^{th}

terms.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 25

If

S_{n}

denotes the sum of first

n

terms of an AP, prove that

A P

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 26

Find the sum of first

1000

positive integers.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 26

Find the sum of first

16

multiples of

7

.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 27

Find the sum of all two digit natural numbers which are divisible by

4

.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 27

How many multiples of

4

lie between

10

and

250

? Also find their sum.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 27

Find the sum of all multiples of

9

lying between

400

and

800

.