What are the first five terms of the sequence given by the formula a_n = 6n + 1

Solution:

Given f(n) = a_n = 6n + 1

Let us take some values as natural numbers for n

n = 1, 2, 3, 4, 5…

When n = 1; f(1) = 6(1) + 1 ⇒ f(1) = 6 + 1 = 7

When n = 2; f(2) = 6(2) + 1 ⇒ f(2) = 12 + 1 = 13

When n = 3; f(3) = 6(3) + 1 ⇒ f(3) = 18 + 1 = 19

When n = 4; f(4) = 6(4) + 1 ⇒ f(4) = 24 + 1 = 25

When n = 5; f(5) = 6(5) + 1 ⇒ f(5) = 30 + 1 = 31

Therefore, the first five terms in the sequence is 7, 13, 19, 25, 31.

What are the first five terms of the sequence given by the formula a_n = 6n + 1

Summary:

The first five terms of the sequence given by the formula a_n = 6n + 1 are 7, 13, 19, 25, 31.