Question

7.
Prove that (21)" is an odd integer for all
natural numbers n.​

Answer 1

Answer:

Given (21)n is an odd integer.

Let n = 1

Then 21 = 2(10) + 1 n = 2

Then 212 = 441 = 2(220) + 1. n = 3

then 213 = 9261 = 2( 4630) + 1.-----------------------------------------and so on n = n then 21n = 2( m) + 1.

∴(21)n is an odd integer for all natural numbers

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Answer 2

Answer:

Given (21)^n is an odd integer.

n = 2 then 21^2 = 441 = 2(220) + 1.

n = n then 21^n = 2( m) + 1.

∴(21)^n is an odd integer for all natural numbers.