Question

Q.13 Prove by using the principle of mathematical induction..
1/2.5+1/5.8+1/8.11+ ....+ 1/(3n-1)(3n+2)=n/6n+4
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Answer 1

Answer:

Let the given statement be P(n), i.e., P(n): 1/2.5+1/5.8+1/8.11+...+1/((3n-1)(3n+2))=n/(6n+4) For n = 1, we have We shall now prove that P(k + 1) is true. Consider Thus, P(k + 1) is true whenever P(k) is true.

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