Question

if n is an odd natural number , 3^(2n) + 2^(2n) is always divisible by

Answer 1

Solution:-

odd number are n = 1,3,5,7,9...............
given ,
3^(2n) + 2^(2n)

if n= 1 then,

3^2 + 2^2 = 9+4 = 13

if n= 3 the,

3^6+2^6 = 729 + 64 = 793
if n = 5

3^10 + 2^10 = 60,073

similarly

all numbers are 13 , 793, 60073

is divisible by 13

your right answer is option( A) = 13 ans

Answer 2

Answer:

a) 13

Step-by-step explanation:

odd number are n = 1,3,5,7,9..

given ,  

3^(2n) + 2^(2n)

if n= 1 then,

3^2 + 2^2 = 9+4 = 13

if n= 3 the,

3^6+2^6 = 729 + 64 = 793

if n = 5

3^10 + 2^10 = 60,073

similarly

all numbers are 13 , 793, 60073  

is divisible by 13