logantolarrocks logantolarrocks
  • 24-01-2020
  • Mathematics
contestada

Which answer describes the type of sequence? 1, 2, 4, 8, 16, . . .

Respuesta :

jimthompson5910 jimthompson5910
  • 24-01-2020

This is a geometric sequence.

Each new term is found by multiplying the last term by 2

1*2 = 2

2*2 = 4

2*4 = 8

2*8 = 16

and so on

Therefore the common ratio is r = 2.

The starting term is a = 1

The general nth term is [tex]a*(r)^{n-1} = 1*(2)^{n-1} = 2^{n-1}[/tex] where n is an integer (aka whole number) and n starts at n = 1.

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