erickanj10 erickanj10
  • 12-03-2022
  • Mathematics
contestada

What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
A. 24
B. 16
C. 8
D. 4.5

Respuesta :

vintechnology vintechnology
  • 15-03-2022

The value of the 24th term is 16.

Arithmetic progression:

  • aₙ = a + (n -  1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; https://brainly.com/question/9882454

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