Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 8,17,26 fine the 31 term

Answer 1

278

Explanation:

Given

`Sequence:= 8, 17, 26`

Required

The 31st term

The given sequence is an arithmetic sequence because

`d = 17 -8= 26 -17 =9`

The 31st term, is then calculated as:

`T_n = a + (n - 1)d`

Where

`a = 8` --- The first term

`T_(31) = 8 + (31 - 1)*9`

`T_(31) = 8 + 30*9`

`T_(31) = 8 + 270`

`T_(31) = 278`