9.4k views
5 votes
30. a₁ = 16,a₂ = -8
a. Write the function Rule
b. a20

1 Answer

4 votes

Answer:

To find the function rule for this sequence, we need to identify the pattern or rule that governs how each term is generated. In this case, it looks like the terms are alternating between multiplying by 2 and then subtracting 8.

a. Function Rule:

aₙ = a₁ * 2^(n-1) - 8

b. To find a₂₀ using this rule:

a₂₀ = a₁ * 2^(20-1) - 8

a₂₀ = 16 * 2^19 - 8

a₂₀ = 16 * 524288 - 8

a₂₀ = 8,388,544 - 8

a₂₀ = 8,388,536

So, a₂₀ is equal to 8,388,536.

User Jonas Stein
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.