CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 17

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Find the common difference of an AP whose first term is $5$ and the sum of first four terms is half the sum of next four terms.

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Important Questions on Arithmetic Progressions

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IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 18

The sum of the first

n

terms of an AP whose first term is

8

and the common difference is

20

is equal to the sum of first

2 n

terms of another AP whose first term is

- 30

and the common difference is

8

. Find

n

.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 19

The sum of the first $7$ terms of an AP is $182$ . If its $4^{th}$ and $17^{th}$ terms are in the ratio $1 : 5$ , find the AP.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 19

The sum of the first six terms of an arithmetic progression is

42

. The ratio of the

10^{th}

term to the

30^{th}

term is

1 : 3

. Calculate the first and the thirteenth term.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 20

The first term of an AP is

5

, the last term is

45

and the sum of all its terms is

400

. Find the number of terms and the common difference.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 20

In an A P, the first term is

- 4

, the last term is

29

and the sum of all its terms is

150

. Find its common difference.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 21

In an AP the sum of its first

n

terms is

6 n - n^{2} .

Find its

25^{th}

term.

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CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 21

If

S_{n}

, the sum of first

n

terms of an AP is given by

S_{n} = 3 n^{2} - 4 n

, find the

n^{th}

term.

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IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 5 - Arithmetic Progressions>Execise 5.3>Q 21

If the sum of first

n

terms of an AP is

\frac{1}{2} (3 n^{2} + 7 n),

then find its

n^{th}

term. Hence, write its

20^{th}

term.