Question

The common difference is _ and the first term is_

Answer 1

Answer:

• The common difference = 2

,

• The first term = 14

Explanation:

Given the equation:

$a(n)=14+2(n-1)$

The formula for finding the nth term of an arithmetic sequence is:

$a(n)=a(1)+d(n-1)\text{ where }\begin{cases}a(1)=\text{the first term} \\ d=\text{the common difference}\end{cases}$

Comparing the two equations:

$\begin{gathered} a(1)=14 \\ d=2 \end{gathered}$

The common difference is 2 and the first term is 14.