Question

Find the explicit formula for the sequence: 2,5,8,11,14

Answer 1

Step-by-step explanation:

Given sequence is: 2,5,8,11,14

Here first term a = 2

Common Difference d = 3

$\because \: t_n = a +(n-1) d \\ \\ \therefore \: t_n = 2+(n-1) 3 \\ \\ \therefore \: t_n = 2+3n- 3 \\ \\ \huge \purple{ \boxed{\therefore \: t_n = 3n- 1}} \\ is \: the \: required \: explicit \: formula$