Question

Find the 100th term in the following

arithmetic sequence:
-10, -15, -20, -25, . . .
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)

Answer 1

Hello:

--> this question asks for the 100th term

Let's us first write out a formula for an arithmetic term to calculate a nth term:

`\text{Formula: }a_n=a_1+(n-1)d\\\text{}`

-a1: first term in the sequence --> -10

-n: position of the
`a_n` term --> 100th term

-d: common difference between each term --> -5

Let's plug in our values to calculate the 100th term:

`a_(100)=-10+(100-1)(-5)=-10+99*(-5)=-10+-495=-505`

Answer: - 505