Question

Ratio and proportion's
Prove

Answer 1

Step-by-step explanation:

The given series can be written as

(1−

3

1

)+(1−

9

1

)+(1−

27

1

)+(1−

81

1

)+... upto n terms

=n−(

3

1

+

3

2

1

+

3

3

1

+...+

3

n

1

)

=n−

1−

3

1

3

1

(1−(

3

1

)

n

)

=n−

2

1

(1−(

3

1

)

n

)