Question

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

Answer 1

Step-by-step explanation:

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Answer 2

Answer: 32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

$a_{n}=a+(n-1)d$  is the formula for an arithmetic sequence.

$a_{n}$ = nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

∴

$a_{n}=a+(n-1)d$

$a_{45} =208+(45-1)(-4)\\a_{45}=32$