Question

What is the 97th term of the arithmetic sequence -16,2,20

Answer 1

1712

Explanation:

Formula of the sequence:

`a_(n)=18n-34\\a_(97)=18(97)-34\\a_(97)=1712`

So 1712 is the 97th term

Answer 2

1712

Explanation:

Given arithmetic sequence is: -16,2,20

Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18

n = 97,
`a_(97)=?`

`\because a_n = a + (n-1)d\\\\</p><p>\therefore a_(97)= - 16 + (97-1)* 18\\\\</p><p>\therefore a_(97)= - 16 + 96* 18\\\\</p><p>\therefore a_(97)= - 16 + 1728\\\\</p><p>\therefore a_(97)=1,712\\\\`