Question

What comes next in the series 5,9,10,28,17,??

Answer 1

Answer:

65 comes next in the series 5,9,10,28,17,??

Step-by-step explanation:

What comes next in the series 5,9,10,28,17,??

Next number comes in sequence = 65

5 = 2² + 1

9 = 2³ + 1

10 = 3² + 1

28 = 3³ + 1

17 = 4² + 1

?? = 4³ + 1 = 65

There are two series going on alternately

first series is

(n+1)²+1     ,  5   , 10 , 17  , 26  , 37

Second series is

(n+1)³ + 1     9   . 28   ,  65  ,  126   , 217

5   , 9  ,  10 , 28 ,  17 , 65  , 26 , 126  , 37 , 217

Answer 2

Answer:

17

Step-by-step explanation:

2*2 + 1 = 4+1 = 5

2*3 + 1 = 8+1 = 9

3*2 + 1 = 9+1 = 10

3*3 + 1 = 27+1 = 28

4*2 + 1 = 16+1 = 17

4*3 + 1 = 64+1 = 65

5*2 + 1 = 25+1 = 26