1.

1/1.3+1/3.5+1/5.7+.......n terms =n/2n+1​

Answer»

Answer:

HENCE it is PROVED by PMI that both sides are EQUAL.

Step-by-step explanation:

Step 1: Given data. P(n) : 1/1.3+1/3.5+−−−−−+1/(2n−1)(2n+1)

=n/(2n+1)

Step 2: To prove, P(1) is true.

LHS=1/1.3=1/3.

RHS=1/2×1+1=1/3.

Thus, P(1) is true.

⇒LHS=RHS

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