Question

What are the first four terms of the sequence represented by the expression n(n – 2) – 3? A. –5, –2, 1, 4 B. –4, –3, 0, 5 C. –3, 0, 3, 6 D. –2, 0, 2, 4

Answer 1

B

Explanation:

Answer 2

B. –4, –3, 0, 5

EXPLANATION

The general formula for the sequence is:

`f(n)=n(n-2) - 3`

To find the first term we substitute n=1

`f(1)=1(1 - 2) - 3 = - 4`

To find the second term, we substitute n=2

`f(2)=2( 2-2) - 3 = - 3`

To find the third term,we put n=3;

`f(3)=3(3-2) - 3 = 0`

To find the fourth term, we put n=4

`f(n)=4(4-2) - 3 = 5`

The correct choice us B