Respuesta :
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