Question

Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29

Answer 1

Answer:

$a_{n}$ = 5n + 4

Step-by-step explanation:

There is a common difference between the consecutive terms of y

29 - 24 = 24 - 19 = 19 - 14 = 14 - 9 = 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 = 9 and d = 5 , then

$a_{n}$ = 9 + 5(n - 1) = 9 + 5n - 5 = 5n + 4

Answer 2

answer options for anyone who can give correct answer