Question

Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answer 1

1014

Explanation:

Remember this formula to find certain terms in arithmetic sequences:

`t_(n) =t_(1) +(n-1)d`

n = term number

`t_(1)` = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

`t_(100) = 24 + (100-1)10\\t_(100) = 24 + 1000 - 10\\t_(100) = 24 + 990\\t_(100) = 1014`