Question

1+3+5+….+(2n-1)= say the answer​

Answer 1

Answer:

11 n ooooooooooook

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Answer 2

Answer:

The result is true for n = 1, since

n2=12=1

Let the result be true for n= k, that is

1+3+5+⋯+(2k−1)=k2

we need to prove that the result is also true for n = k + 1, that is

1+3+5+⋯+(2k−1)+(2k+1)=(k+1)2

by our assumption

1+3+5+⋯+(2k−1)=k2

adding 2 k + 1 on both sides

1+3+5+⋯+(2k−1)+(2k+1)=k2+(2k+1)=(k+1)2

∴The result is true for n = k + 1. Hence by the principle of mathematical

induction, the result is true for all n∈Z+