Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

359,352,345,...
Find the 38th term.

Answer 1

Explanation:

STEP 1 : determine whether the sequence is arithmetic or quadratic - so you can know what formula to use

`the \: sequence \: is \: arithmetic \: \\ 345 - 352 = - 7 \: and \: 352 - 359 = - 7 \\`

STEP 2 : fill in the arithmetic formula so you can use the formula to find the 38th term

`tn = a + (n - 1)d \\a = first \: term \\ d = the \: difference \\ n = the \: position \: of \: the \: nth \: term`

`tn = 359 + (n - 1)( - 7)`

• so this is the formula you use to find the nth term which is 38

`t38 = 359 + (38 - 1) * ( - 7) \\ t38= 100`

so the answer is 100

hope this helps!

Answer 2

100

Explanation:

Hope it helps!