Search any question & find its solution
Question:
Answered & Verified by Expert
\(10^n+3\left(4^{n+2}\right)+5\) is divisible by \((n \in N)\)
Options:
Solution:
1373 Upvotes
Verified Answer
The correct answer is:
9
\(\begin{aligned}
& 10^n+3\left(4^{n+2}\right)+5 \text { Taking } n=2, \\
& 10^2+3 \times 4^4+5=100+768+5=873
\end{aligned}\)
Therefore this is divisible by 9.
& 10^n+3\left(4^{n+2}\right)+5 \text { Taking } n=2, \\
& 10^2+3 \times 4^4+5=100+768+5=873
\end{aligned}\)
Therefore this is divisible by 9.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.