Question

Write an equation for the nth term of each arithmetic sequence 19,31,43,55

Answer 1

12n+7

Step-by-step explanation:

Given the arithmetic sequence

`19,31,43,55​`

• The first term, a=19

,

• Common difference, d = 31-19 = 12

The nth term of an arithmetic sequence is obtained using the formula:

`U_n=a+(n-1)d`

Substituting the given values, we have:

`\begin{gathered} U_n=19+12(n-1) \\ =19+12n-12 \\ =12n+7 \end{gathered}`

An equation for the nth term is 12n+7.