Question

Find the specified value for the arithmetic sequences with the given characteristics. a17 = 47 d = -3 a35= ?

Answer 1

The 35th term is -8

Step-by-step explanation

The nth term of an arithmetic sequence is given by

`a_n = a_1 + d( n - 1)`

We have the 17th term to be;

`a_(17)=47`

and the common difference is d=-3

We substitute to get:

`47= a_1 + - 3(1 7- 1)`

`47= a_1 + 16( - 3)`

`47= a_1 - 48`

`a_1 = 48 + 47 = 95`

We can now find the 35th term:

`a_(35)=a_(1) + 34d`

`a_(35)=95 + 34( - 3) = - 8`