CBSE Class 11-science Answered
Principle of Mathematical Induction
Asked by prnc_bnrj | 02 Jul, 2008, 07:23: PM
Expert Answer
for n = 1
L.H.S.= 31 = 3
R.H.S. = 2x 1+1 = 3
hence, L.H.S = R.H.S
let the result is true for n = k
that is, 3k = 2k+1
let n = k+1
consider L.H.S.
3k+1 = 3.3k
3.(2k+1)
= (2k+3)+4k
2k+3 = 2(k+1) +1= R.H.S.
hence, the result is true for all n.
Answered by | 16 Jul, 2008, 04:10: PM
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