Question

Find the formula for the nth term of the following sequence:

17, 28, 39, 50...

Answer 1

Answer: 17, 28, 39, 50, ..., 11n+6

Explanation:

17, 28, 39, 50, ...

28-17=11

39-28=11

50-39=11

Hence,

This is an arithmetic progression where a₁=17 and d=11

Use the formula for an arithmetic progression:

`a_n=a_1+(n-1)d\\a_n=17+(n-1)11\\a_n=17+11n-11\\a_n=11n+6`