Question

50 points i neeeeeed help

In a sequence of numbers, a4=6, a5=10, a6=14, a7=18, and a8=22. Which recursive rule can be used to find the nth term of the sequence, an? a1=6; an=4an−1 a1=−6; an=an−1+4 a1=6; an=an−1+4 a1=−6; an=4an−1

Answer 1

a1=-6; an=an−1+4

Explanation:

Because the starter number is 6 and you go up by 4.

Answer 2

• B. a₁ = -6, aₙ = aₙ₋₁ + 4

Explanation:

From the given sequence we see that:

• Common difference is 4

Find the first term:

• a₁ + 3*4 = a₄
• a₁ + 12 = 6
• a₁ = -6

The recursive formula for this sequence is:

• a₁ = -6, aₙ = aₙ₋₁ + 4

Correct choice is B