3 years ago

A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

aₙ = 40*(1/2)ⁿ⁻¹

Step-by-step explanation:

As per graph we have:

a₁ = 40, a₂ = 20, a₃ = 10, a₄ = 5, a₅ = 2.5

So the first term is 40 and common ratio is

20/40= 10/20 = 5/10 = 2.5/5 = 1/2

Formula for nth term is:

aₙ = a₁rⁿ⁻¹

aₙ = 40*(1/2)ⁿ⁻¹

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