Question

6. The term of an arithmetic sequence is 20 and 8" term is 32
a. What is the common difference of this sequence?
b. Write the algebraic form. ​

Answer 1

Step-by-step explanation:

6th term =a+5d =20

8th term =a+7d=32

8th term-6th term = a+7d-a-5d =32-20

2d=12

d=6

so

a+5*6=20

a=20-30

a=-10

so nth term

an= a+(n-1)*d

= -10+(n-1)6

= 6n -6-10

=6n-16