The given series is a special type of series known as a reciprocal of product of natural numbers.

The general term of the series can be written as 1/(n*(2n-1)) where n is the term number.

To find the sum of the series, we need to find a pattern or formula.

Let's write down the first few terms explicitly:

1/1, 1/(1*3), 1/(1*3*

Question

The given series is a special type of series known as a reciprocal of product of natural numbers.

The general term of the series can be written as 1/(n*(2n-1)) where n is the term number.

To find the sum of the series, we need to find a pattern or formula.

Let's write down the first few terms explicitly:

1/1, 1/(1*3), 1/(1*3*

Knowee AI · Accepted Answer

The given series is a special type of series known as a reciprocal of product of natural numbers.

The general term of the series can be written as 1/(n*(2n-1)) where n is the term number.

To find the sum of the series, we need to find a pattern or formula.

Let's write down the first few terms explicitly:

1/1, 1/(1*3), 1/(1*3*

The Series 1+ 1/1.3+1/1.3.5+ ……… is