Question

Find the number that logically continues

each of these series:
a) 2, 3, 5, 9, 17,
b) 14, 19, 29, 40, 44, 52,

Answer 1

In series a), the next number is 51. In series b), the next number is 204.

Step-by-step explanation:

In the series a) 2, 3, 5, 9, 17, each number is obtained by adding the previous number and multiplying it by 2. For example, the second number is 2 + 2(1) = 3, and the third number is 3 + 2(3) = 5.

In the series b) 14, 19, 29, 40, 44, each number is obtained by adding the previous number to the product of the previous two numbers. For example, the second number is 14 + 1(5) = 19, and the third number is 19 + 1(10) = 29.

Therefore, the next number in series a) is 17 + 2(17) = 51, and the next number in series b) is 44 + 40(4) = 204.