Question

What is the equation for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points) an = 5 − 2(n − 1) an = 5 + 2(n − 1) an = 5 − 3(n − 1) an = 5 + 3(n − 1)

Answer 1

an = 5 − 3(n − 1)

Explanation:

First term,a = 5

Second term = 2

Common difference,d = 2 - 5 = -3

nth term = a + d(n - 1)

= 5 -3(n - 1)

Check

When n = 2

2nd term = 5 - 3(2 - 1)

= 5 - 3(1)

=5 - 3

= 2

2nd term = 2