Question

Can someone help me? Write a rule for nth term of the arithmetic sequence with a1=7 and the common difference is 3

Answer 1

`a_n=3n+4`

Explanation:

If the common difference is d=3 and the first term is a₁=7, then we can create an arithmetic sequence:

`a_n=a_1+(n-1)d\\a_n=7+(n-1)(3)\\a_n=7+3n-3\\a_n=3n+4`