Question

Complete the pattern and find the rule 87,91,95,99,___,___, ___

Answer 1

the rule is +4
how did you find it you can 87-91=4
so that is your rule +4

Answer 2

aₙ = a₁ + (n-1).d

103

107

Explanation:

This is an arithmetic sequence because the difference (d) between 2 successive numbers is constant.

d = 91 - 87 = 95 - 91 = 99 - 95 = 4

If the first term is a₁, we can find the n term using the following expression.

aₙ = a₁ + (n-1).d

Here, we want to find the fifth and sixth elements.

a₅ = 87 + (5-1).4 = 103

a₆ = 87 + (6-1).4 = 107