Question

Help please

Write the next three terms of the arithmetic sequence.
0.2, 0.6, 1, 0.4, __, __,__

Write the next three terms of the arithmetic sequence.
4, 3 3/4, 3 1/2, 3 1/4 ,__, __, __

Answer 1

Use the formula for an arithmetic sequence:
`a_(n)=a+(n-1)d`

`a_(n)` = nth term

a = the first term in the sequence

n = term you are looking for

d = common difference between the terms

Answers

1. I'm assuming you meant to type 0.2, 0.6, 1, 1.4...

In that case, it is increasing by 0.4, so the next three would be:

0.2 + (4-1)(0.4) = 1.8...

=> 1.8, 2.2, 2.6.

2. Here it's reducing by 0.25, so start with:

4 + (5-1)(-0.25) = 3...

=> 3, 2.75, 2.5