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

B. –4, –3, 0, 5

EXPLANATION

The general formula for the sequence is:

To find the first term we substitute n=1

To find the second term, we substitute n=2

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

To find the fourth term, we put n=4

The correct choice us B

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1