Question

Jose averaged 123 total pins per game in his bowling league this season . He is takin bowling lessons and hopes to bring his average up by 8 pins each new season . What is the equation to represent this sequence

Answer 1

`a_n=115+8n`

Explanation:

We are given

Jose averaged 123 total pins per game in his bowling league this season

so, first term is 123

He is taking bowling lessons and hopes to bring his average up by 8 pins each new season

so, common difference is 8

now, we can use nth term arithematic sequence formula

`a_n=a_1+(n-1)d`

where

an is nth term

a1 is first term

d is common difference

n is number of seasons

so, we get

`a_1=123`

`d=8`

now, we can plug these values into formula

`a_n=123+(n-1)8`

now, we can simplify it

`a_n=115+8n`