Question

4^n +15n-1 is divisible by 9 true or false​

Answer 1

Answer:

you're ans is true

Step-by-step explanation:

solved it also see: P(n):4

n

+15n−1 is a multiple of 9 for any natural number n.

4

n

can be written as (1+3)

n

whose binomial expansion gives :

1+3n+9(

n

C

2

)+........+3

n

+15n−1

which reduces to :

18n+9(

n

C

2

)+........+3

n

=9k

where k is an integer.

Therefore, 4

n

+15n−1 is divisible by 9.

Answer 2

Answer:

false

Step-by-step explanation:

=4^n + 15n -1 / 9

=2n×2n+15n-1 /9

=2n+ 17n -1 /9

=19n-1/9

so that it is false