n is an odd number. Which of the following statement is true? (1) (2n

1.	n is an odd number. Which of the following statement is true? (1) (2n+1 ) + is divisible by 5 (2) (2n+1 ) + is divisible by 3 (3) (2n-1 ) − is divisible by 5 (4) (2n -1 ) − is divisible by 3
Answer» (2) (2ⁿ+1 ) + is divisible by 3 2ⁿ+ 1 = 2ⁿ+1ⁿ= (2+n) (2^n-1+2^n-2+...+1) = 3K Divisible by 3

n is an odd number. Which of the following statement is true? (1) (2n+1 ) + is divisible by 5 (2) (2n+1 ) + is divisible by 3 (3) (2n-1 ) − is divisible by 5 (4) (2n -1 ) − is divisible by 3

Answer»

(2) (2ⁿ+1 ) + is divisible by 3

2ⁿ+ 1 = 2ⁿ+1ⁿ= (2+n) (2^n-1+2^n-2+...+1)

= 3K

Divisible by 3

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n is an odd number. Which of the following statement is true? (1) (2n+1 ) + is divisible by 5 (2) (2n+1 ) + is divisible by 3 (3) (2n-1 ) − is divisible by 5 (4) (2n -1 ) − is divisible by 3

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