Question

What is the 101st term in the sequence 876, 869, 862, ...?

1583

176

1576

169

Answer 1

176

Explanation:

We see that it is an arithmetic sequence since we are subtracting the same number to a term to get the next term. So 876 - 7 = 869 & 869 - 7 = 862.

So the common difference d is -7

and the first term, a is 876

The nth term of an arithmetic sequence is given by a + (n-1)d

where n would be 101, since we want to figure 101st term.

So:

`a+(n-1)d\\876+(101-1)(-7)\\876+(100)(-7)\\=176`

Correct answer is the 2nd choice, 176