Respuesta :

The answer is 40..........

The missing number in the given series is; 40

  • We are given the series;

24, 32, _, 48, 56

  • The series is an arithmetic progression and the formula for the nth term of an AP is;

a_n = a + (n - 1)d

Where;

a_n is the nth term

a is the first term

n is the number of the term

d is common difference

  • From the given series, we see that;

a = 24

d = 8

Thus;

a_3 = 24 + (3 - 1)8

a_3 = 24 + 16

a_3 = 40

Read more on Arithmetic progression at; https://brainly.com/question/7849474