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Roman55 [17]
3 years ago
9

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:

<u>As per graph we have:</u>

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

<u>So the first term is </u><u>40</u><u> and common ratio is </u>

  • 20/40= 10/20 = 5/10 = 2.5/5 = 1/2

<u>Formula for nth term is:</u>

  • aₙ = a₁rⁿ⁻¹
  • aₙ = 40*(1/2)ⁿ⁻¹

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