MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 5

EASY

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IMPORTANT

Earn 100

Which term of the sequence of an A.P $12 + 8 i, 11 + 6 i, 10 + 4 i, . . .$ is purely real and purely imaginary. Write their terms.

Important Questions on Arithmetic Progressions

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 6

How many terms are there in the A.P.

7, 10, 13, . . . 43

?

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 6

How many terms are there in the A.P.

- 1, - \frac{5}{6}, - \frac{2}{3}, - \frac{1}{2}, \dots, \frac{10}{3}

?

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 7

The first term of an A.P. is

5

, the common difference is

3

and the last term is

80

; find the number of terms.

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 8

The

6^{th}

and

17^{th}

terms of an A.P. are

19

and

41

respectively, find the

40^{th}

term.

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 9

If

9^{th}

term of an A.P is zero, prove that its

29^{th}

term is double the

19^{th}

term.

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 10

If

10

times the

10^{th}

term of an A.P is equal to

15

times the

15^{th}

term, show that

25^{th}

term of the A.P is zero.

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 11

The

10^{th}

and

18^{th}

terms of an A.P. are

41

and

73

respectively. Find

26^{th}

term.

EASY

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.2>Q 12

In a certain A.P the

24^{th}

term is twice the

10^{th}

term. Prove that the

72^{nd}

term is twice the

34^{th}

term.