NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 24

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In an AP, if $S_{n} = n (4 n + 1)$ , then find the AP

Important Questions on Arithmetic Progressions

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IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 25

In an AP, if

S_{n} = 3 n^{2} + 5 n

and

a_{k} = 164,

then find the value of

k

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 26

If $S_{n}$ denotes the sum of first $n t h$ terms of an AP, then prove that $S_{12} = 3 (S_{8} - S_{4})$

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 27

Find the sum of first

17

terms of an AP whose

4 t h and 9 t h

terms are

- 15 and - 30

, respectively.

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 28

If sum of first

6

terms of an AP is

36

and that of the first

16

terms is

256

, then first find the sum of first

10

terms.

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 29

Find the sum of all the

11

terms of an AP whose middle most term is

30 .

EASY

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IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 30

Find the sum of last ten terms of the AP,

8, 10, 12, . . ., 126 .

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 31

Find the sum of first seven numbers which are multiples of

2

as well as of

9

.

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 5 - Arithmetic Progressions>Exercise>Q 32

How many terms of the AP

- 15, - 13, - 11, . . .

are needed to make the sum

- 55

?