Question

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

Answer 1

Answer:

1712

Step-by-step explanation:

Given arithmetic sequence is: -16,2,20

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

n = 97, $a_{97}=?$

$\because a_n = a + (n-1)d\\\\\therefore a_{97}= - 16 + (97-1)\times 18\\\\\therefore a_{97}= - 16 + 96\times 18\\\\\therefore a_{97}= - 16 + 1728\\\\\therefore a_{97}=1,712$

Answer 2

Answer:

1712

Step-by-step explanation:

Formula of the sequence:

$a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712$

So 1712 is the 97th term