Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 3

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IMPORTANT

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If the fourth term of an $A . P .$ is $4$ , then what is the sum of its $7$ terms?

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Important Questions on Sequences and Series

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 4

If the

10^{t h}

and the

11^{t h}

terms of an

A . P .

are

23

and

27

respectively, then write the sum of its first

20

terms.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert five numbers between

8

and

6

such that the resulting sequence is an

A . P .

EASY

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert

6

arithmetic means between

3

and

24

.

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert

10

A . M' s

between

- 5

and

17

and prove that their sum is

10

times the

A . M .

between

- 5

and

17

.

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 6

If

A

is the

AM

between

a

and

b

, prove that

(A - a)^{2} + (A - b)^{2} = \frac{1}{2} (a - b)^{2}

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 6

If

A

is the

A . M .

between

a

and

b

, prove that

4 (a - A) (A - b) = (a - b)^{2}

.

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 7

Arithmetic means are inserted between

7

and

71

in such a way that the

5^{t h}

A . M .

is

27

. Find the number of

A . M' s

inserted.

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 8

There are

n

arithmetic means between

3

and

17

. The ratio of the first mean to the last mean is

1 : 3

. Find

n

.