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

Answer:

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.