Math, asked by gunnammasuvvada, 7 months ago

the nth term series 1/1.3+1/3.5+1/5.7 +.......... infinity

Answers

Answered by prasannajitpradhan

1

Step-by-step explanation:

1/3 + 1/15 + 1/35 ....

= 1/1.3 + 1/3.5 + 1/5.7 + ....

= 1/2[ 1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 ......]

= 1/2[1]

= 1/2

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