Question

In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.

-4, -2, 0, 2, ____, ____, ____,

Arithmetic
Geometric
Neither
Common difference
Common ratio

Answer 1

d = 2

Next 3 terms = 4, 6 and 8

Explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8