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

MCQ

$72n + 16n - 1$ is divisible by $(n \in N):$

✓
$64$
B
$49$
C
$13$
D
$25$

✓

Answer

Correct option: A.

$64$

$S = 72n + 16n - 1$
For $n = 1$
$S = 49 + 16 - 1 = 64$
For $n = 2$
$S = 2401 + 32 - 1$
$= 2432$
$= 64 \times 32,$
which is divisible by $64$

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