Question

0, 2, 5, 10, 17, _, 41​

Answer 1

Answer:

28

Step-by-step explanation:

0+2=2

2+3=5

5+5=10

10+7=17

17+11=28

28+13=41

next number is just adding prime numbers to previous number

Answer 2

Answer:

The missing number will be 28.

Given:

Series: 0, 2, 5, 10, 17, _, 41

To find:

the missing number.

Step-by-step explanation:

Given series is,

0, 2, 5, 10, 17, _, 41

we can observe that,

0 + 2 = 2

2 + 3 = 5

5 + 5 = 10

10 + 7 = 17

the number added to previous number to get next number are 2, 3, 5, and 7 which are consecutive prime numbers.

So, according to this pattern the next number that must be added will be 11.

therefore,

17 + 11 = 28

again,

28 + 13 = 47.

so this pattern is true.

series will be 0, 2, 5, 10, 17, 28, 41

hence,

the missing number is 28.

#SPJ2