Question

What is the explicit function that defines this sequence? - 4,11,18,25

Answer 1

Answer:

$a_{n}$ = 7n - 3

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 11 - 4 = 18 - 11 = 25 - 18 = 7

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 = 4 and d = 7 , thus

$a_{n}$ = 4 + 7(n - 1) = 4 + 7n - 7 = 7n - 3