Question

How do you find the explicit formula for the following sequence 41, 46, 51, 56, 61, . . . ?

Answer 1

The explicit formula of an arithmetic sequence is found by plugging the numbers into the formula `t_n = a+ (n - 1)d`

Explanation:

`t_n = 41 + (n - 1)5`

`t_n = 41 + 5n - 5`

`t_n = 36 + 5n`

Thus you have your explicit formula.

Hopefully this helps!

Practice exercises:

1. Find the explicit formula for the following sequence: `34, 27, 20 ...`

2. Find the explicit formula for the following sequence: `n, n + 2, n + 4 ...`

Good luck!