Question

show that the sequence an= 4 n + 5 will be an ap​

Answer 1

Step-by-step explanation:

let take n value =1,2,3,4.....

a(1)=4n +5

=4 (1)+5

=4+5

=9

a(2 ) =4 (2)+5

=8+5

=13

a(3) =4 (3)+5

=12+5

=17

difference=a3-a2

=17-13

=4

difference = a2-a1

=13-9

=4

therefore d=4 and same.

therefore they are in ap.