Question

if n is a positive integer then 2.4^(2n+1)+3^(3n+1) is divisable by ?​

Answer 1

Given: The expression 2.4^(2n+1)+3^(3n+1)

To find: The expression id divisible by ?

Solution:

• Now we have given the expression as:

                  2.4^(2n+1)+3^(3n+1)

• Put n = 1, we get:

                  2.4^(2(1) + 1) + 3^(3(1) + 1)

                  2.(64) + 81

                  128 + 81

                  209

• Put n = 2, we get:

                  2(4)^5 + 3^7  

                  8(256) + 2187  

                  2048 + 2187

                  4235

• Now HCF of 209 and 4235 is 11.

• So the given expression is also divisible by 11.

Answer:

               So the given expression is divisible by 11.