Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 1

EASY

11th ICSE

IMPORTANT

Earn 100

Insert $3$ geometric means between $1$ and $256$ .

Important Questions on Sequences and Series

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 1

Insert

4

geometric means between

\frac{4}{9}

and

\frac{27}{8}

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 2

If the fourth term of a

G . P .

is

2

, then what is the product of its first

7

terms.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 3

A geometric progression consists of

n

terms, where

n

is odd. If the middle term of the

G . P .

is

m

, then what is the product of these

n

terms.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 4

If the fourth term of a

G . P .

is

8

and fifth term is

16

, then what is the product of first

8

terms?

EASY

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 5

If

G_{1}

and

G_{2}

are two

G . M .' s

between two positive numbers

a

and

b

, then show that

G_{1} G_{2} = a b

.

EASY

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 6

If

A_{1}, A_{2}

are two

A . M' s

and

G_{1}, G_{2}

are two

G . M' s

between two positive numbers

a

and

b

, then find the value of

\frac{A_{1} + A_{2}}{G_{1} G_{2}}

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 7

Insert

5

geometric means between

576

and

9

. Show that their product is equal to the fifth power of the single

G . M .

between the given numbers.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.7>Q 8

The arithmetic mean between two numbers is

34

and

G . M .

is

16

. Find the numbers.