Question

2,2,5,9,10,?
what will be the next number? ​

Answer 1

Answer:

May be the logic of this series is;

2 * 5 = 10

2 * 9 = 18

Therefore the series is 2, 2, 5, 9, 10, 18.

Step-by-step explanation:

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Answer 2

Given data: 2, 2, 5, 9, 10, ?

To find : The series of next number

Solution:

• Series is the sequence of numbers or listing the number based on arithmetic operation.
• According to given series, it is based on multiplication and addition.
• $(1)^2+1=2,(1)^3+1=2,(2)^2+1=5,(2)^3+1=9,(3)^2+1=10.$ Using 2 power and 3 power we need to multiple the value and then with that answer we need to add 1 .
• According to this pattern 2, 5 is the combination of +3 and 2, 9 is the combination of +7 and 5, 10 is the combination of +5. So, the next count will be +9.
• All the numbers are based on the count of odd numbers.
• Hence the next number of the series is 18.