Question

the 2nd term of AP is 13 and its 5th term is 25 what is its 17th term

Answer 1

Step-by-step explanation:

Given, second term = a(2)= a+d=13

Fifth term = a(5)= a+4d= 25

Solving both the equations,

a+d=13 and a+4d=25

13-d=25-4d

4d-d=25-13

3d=12

d=4 and a=9

Now, seventeenth term =a(17)= a+16d

a(17)= 9+(16)(4)= 9+64=74

Hence, seventeenth term is a(17)=74

Thank you

Answer 2

Answer:

Step-by-step explanation:

second term = a(2)= a+d=13

Fifth term = a(5)= a+4d= 25

Solving both the equations,

a+d=13 and a+4d=25

13-d=25-4d

4d-d=25-13

3d=12

d=4 and a=9

Now, seventeenth term =a(17)= a+16d

a(17)= 9+(16)(4)= 9+64=73

A(17) = 73