Question

Find the next number in the series 3, 10, 24, 45, _____
(1) 60
(2) 84
(3) 73
(4) 76

Answer 1

Given, series is ----> 3, 10 , 24 , 45, ..?

this question is based on arithmetic operation. To find the next term, we have to find the relation between two consecutive terms by using algebraic operations like addition, subtraction, multiplication , division etc..


here we see,
10 - 3 = 7 = 1 × 7
24 - 10 = 14 = 2 × 7
45 - 24 = 21 = 3 × 7
now, I think you understand how to get the next number of this series.
so, next number = X - 45 = 4 × 7
X = 45 + 28 = 73

hence, option (3) is correct.

Answer 2

To find a further term in this arithmetic operation, we need to find a relationship between the two consecutive numbers.

10 - 3 = 7 = 1 × 7

24 - 10 = 14 = 2 × 7

45 - 24 = 21 = 3 × 7

So, further number = X - 45 = 4 × 7

X = 45 + 28 = 73