maddieskyee21 maddieskyee21
  • 23-07-2020
  • Mathematics
contestada

What is the value of the fourth term in a geometric sequence for which a1 =
30 and r= 1/2

Respuesta :

Chrisnando
Chrisnando Chrisnando
  • 26-07-2020

Answer:

3¾

Step-by-step explanation:

Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.

Formula for geometric sequence:

[tex] a^n = a ( n-1 ) * r [/tex]

Given:

First term, a1 = 30

ratio, r = ½

Required:

Find the fourth term

Where, the first term, a¹ = 30

Second term: a² = 30 * ½ = 15

Third term: a³ = 15 * ½ = 7.5

Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾

Therfore the fourth term of the geometric sequence is 3¾

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