Answers

  • Brainly User
2016-06-24T12:21:46+08:00
A₁ = ?
a₂ = 4
a₃ = 10
a₄ = 16
a₅ = ?

So, we're looking for a₁ and a₅.

Find the difference between any two consecutive term:
10 - 4 = 6
16 - 10 = 6

d (common difference) = 6

From the general formula/rule:

an= a₁ + (n-1) (d)

Rule of the sequence:
Say we choose a₄ = 16 as our an,  and its term is n = 4,  d = 6

Then:
16 = a₁ + (4-1) (6)
16 = a₁ = (3) (6)
16 = a₁ + 18
16 - 18 = a₁
a₁ = -2

To find a₅:

a₅ = a₁ + (5-1)(6)
a₅ = -2 + (4) (6)
a₅ = -2 + 24
a₅ = 22

Follow this rule to find the other terms, when needed.

The missing terms are:
a₁ = -2
a₅ = 22

-2, 4, 10, 16, 22

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