write an explicit formula formula for the sequence 2, 8, 14, 20, 26,...a. a_n= 2n-2b. a_n= 2n+2c. a_n=4n+2d. a_n = 6n-4
Accepted Solution
A:
Answer:d. a_n = 6n - 4.Step-by-step explanation:The common difference (d) is 8-2 = 14-8 = 20-14 = 26-20 = 6.This is an Arithmetic Sequence with the first term (a1) is 2. The general form of the explicit formula is a_n = a1 + d(n - 1) so this sequence has the formula:a_n = 2 + 6(n - 1)a_n = 2 + 6n - 6a_n = 6n - 4.