nnancyhuerta21 nnancyhuerta21
  • 31-08-2020
  • Mathematics
contestada

Find the 10th term of a geometric sequence if a1=5 and the common ratio r=2


Respuesta :

Muscardinus Muscardinus
  • 05-09-2020

Answer:

The 10th term of the GP is 2560.

Step-by-step explanation:

It is given that,

The first term of the GP, a = 5

Common ratio, r = 2

We need to find the 10th term of the GP. The nth term of a GP is given by :

[tex]T_n=ar^{n-1}[/tex]

Put n = 10

[tex]T_{10}=5\times 2^{10-1}\\\\T_{10}=2560[/tex]

So, the 10th term of the GP is 2560.

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