Question

(1+1/n) = n+1. Proves by mathematical induction.

Answer 1

Hi Friend !!!

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1+1/n = n+1

n+1/n = n+1

n+1 = (n+1)(n)

n+1/n+1 = n

n= 1

Hope it helps u

Answer 2

frstly put n = 1
1+1/1 = 1+1
1+1= 1+1
2= 2
l.h.s = r.h.s
the result is true for n= 1

assume n = k

1+1/k = k+1 ...result is true for n= k

to show result is true for n= k+1

1+1/k + 1+1/k+1 = k+1+1
from above eqn 1+1/k = k+1

k+1+1+1/(k+1) = k+2

on solving this eqnn...
k+2+1/(k+1)= k+2

k+2 = k+2

so result is true for n= k+1 by mathematical induction ..