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18) Write the explicit And recursive formulas for the sequence 10, 15, 22.5, 33.75... Then, find the 24" term
of the sequence.
Recursive:
Explicit
24th Term:

Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given sequence:

  • 10, 15, 22.5, 33.75...

This is a GP as subsequent terms increase by 1.5 times.

The first term is:

  • a₁ = 10

Common ratio is:

  • r = 1.5

The recursive formula:

  • a₁ = 10, aₙ = 1.5*aₙ₋₁

The explicit formula:

  • aₙ = a₁*rⁿ⁻¹ ⇒
  • aₙ = 10*1.5ⁿ⁻¹

The 24th term is:

  • a₂₄ = 10*1.5²³

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