Question

What's the explicit formula for 5,10,15,20,25,30

Answer 1

`a_(n)` = 5n

Explanation:

There is a common difference d between consecutive terms

d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5

This indicates the sequence is arithmetic with explicit formula

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 5 , then

`a_(n)` = 5 + 5(n - 1) = 5 + 5n - 5 = 5n