Question

For all n $ϵ$ N, $3\times 5^{2n+1}+2^{3n+1}$ is divisible by

• A. 19
• B. 17
• C. 23
• D. 25

Answer 1

The correct option is B 17

$3\times 5^{2n+1}+2^{3n+1}$

For $n=0$

$3\left(5\right)+2=17$

Therefore there are $17$ Prime numbers

$\Rightarrow$ It is divisible by Multiple of $17$