Question

Write a rule for the nth term of the arithmetic sequence. 34, 41, 48, 55, . . .

Answer 1

`\bold{a_n=7n+27}`

Explanation:

`a_1=34\\a_2=41\\a_3=48\\a_4=55\\\\41-34=7\ \ and\ \ 48-41=7\ \ and \ \ 55-48=7`

So this is the arithmetic sequence with difference d=7

`a_n=a_1+d(n-1)\\\\a_n=34+7(n-1)\\\\a_n=34+7n-7\\\\\underline{a_n=7n+27}`