Question

The arithmetic sequence (ai) is defined by the equation ai = -2+ 2(i -1) . What is the tenth term in the sequence?

Answer 1

a10 = 16

Explanation:

The arithmetic sequence is defined by the equation:

`a_i=-2+2\left(i-1\right)`

To find the 10th term in the sequence, substitute 10 for i:

`a_(10)=-2+2\left(10-1\right)`

Then simplify:

`\begin{gathered} a_(10)=-2+2(10-1) \\ =-2+2(9) \\ =-2+18 \\ a_(10)=16 \end{gathered}`

The tenth term in the sequence is 16.