72n + 16n - 1 is divisible by (n ∈ N): - Vidyadip

MCQ

72n + 16n - 1 is divisible by (n ∈ N):

✓
64
B
49
C
13
D
25

✓

Answer

Correct option: A.

64

Calculation:
S = 72n + 16n - 1
For n = 1
S = 49 + 16 - 1 = 64
For n = 2
S = 2401 + 32 - 1 = 2432 = 64 × 32, which is divisible by 64

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