CBSE Class 11-science Answered
why (2k-1)became (2k-1)+(2k+1)?
Asked by Satyajit Satyaprakash | 12 Dec, 2013, 09:34: PM
Expert Answer
While writing the statement corresponding to P(k+1), we substitute k+1 in place of k.
Doing so, we get,
p(k+1) : 1 + 3 + 5..... + (2k-1) + [2(k+1) -1] = (k+1)^2 + 3
That is,
p(k+1) : 1 + 3 + 5..... + (2k-1) + [2k+2 -1] = (k+1)^2 + 3
or, p(k+1) : 1 + 3 + 5..... + (2k-1) + (2k + 1) = (k+1)^2 + 3
Answered by | 18 Dec, 2013, 06:42: PM
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