gloverfamily199
gloverfamily199 gloverfamily199
  • 20-11-2018
  • Mathematics
contestada

What is the 10th term of the sequence 2, 8, 32, 128… ?

Respuesta :

Rinkhals
Rinkhals Rinkhals
  • 20-11-2018

We can notice that the Given Sequence is a Geometric Sequence

In this Sequence :

a = 2

Common ratio (r) [tex]= \frac{8}{2} = 4[/tex]

We know that nth term of a Geometric Sequence is given by : a.rⁿ⁻¹

The Question is to find the 10th term

⇒ 10th term = 2 × 4¹⁰⁻¹ = 2 × 4⁹ = 524288

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