Question

The common difference is _ and the first term is_

Answer 1

the common difference is 2
the first term is 14

Answer 2

• 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.