MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 5

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IMPORTANT

Earn 100

The first term of an $A P$ is $5$ , the last term is $45$ and the sum is $400$ . Find the number of terms and the common difference.

Important Questions on Arithmetic Progressions

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 6

The first and the last terms of an

A P

are

17

and

350

respectively. If the common difference is

9

, how many terms are there and what is their sum?

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 7

Find the sum of first

22

terms of an

A P

in which

d = 7

and

22 n d

term is

149

.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 8

Find the sum of first

51

terms of an

A P

whose second and third terms are

14

and

18

respectively.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 9

If the sum of first

7

terms of an

A P

is

49

and that of

17

terms is

289

, find the sum of first

n

terms.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 10

Show that $a_{1}, a_{2}, \dots, a_{n}, \dots$ form an $A P$ where $a_{n}$ is defined as below. Also find the sum of the first $15$ terms.

$a_{n} = 3 + 4 n$

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 10

Show that

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

form an

A P

where

a_{n}

is defined as

a_{n} = 9 - 5 n

. Also find the sum of the first

15

terms.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 11

If the sum of the first

n

terms of an

A P

is

4 n - n^{2}

, what is the first term (that is

S_{1}

)? What is the sum of first two terms ? What is the second term? Similarly, find the

3 r d

, the

10 t h

and the

n t h

terms.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 12

Find the sum of the first

40

positive integers divisible by

6

.