Question

if the 7th term of an ap is 15 and 13th term is 27 then find the nth term ​

Answer 1

hey dude! just check it out..

Answer 2

The nth term ​is 1+2n

Step-by-step explanation:

Formula of nth term of AP = a_n=a+(n-1)d

Substitute n = 7

$a_7=a+(7-1)d$

We are given that 7th term of an ap is 15

a+(7-1)d=15

a+6d=15 ----1

Substitute n = 13

$a_{13}=a+(13-1)d$

We are given that 13th term is 27

$a+(13-1)d=27$

a+12d=27 ----2

Substitute the value of a from 1 in 2

15-6d+12d=27

15+6d=27

6d=27-15

6d=12

d=2

Substitute the value of d in 2

a+12(2)=27

a=27-12(2)

a=3

nth term of AP = a_n=3+(n-1)(2)=3+2n-2=1+2n

Hence The nth term ​is 1+2n

#Learn more:

Sum of nth term of AP whose 7th term is 30 and 13th term 54

https://brainly.in/question/6325305