Question

which number comes next in the series 5, 6, 9, 16, ?​

Answer 1

Answer:

The value of missing number is equal to 31.

Step-by-step explanation:

The given sequence are:  5, 6, 9, 16, ?

To find, the missing number  

6 = 5 + 1 = 6

9 = 6 + 1 × 2 + 1 = 6 + 3 = 9

16 = 9 + 3 × 2 + 1 = 9 + 7 = 16

Similarly,

? = 16 + 7 × 2 + 1 = 16 + 15 =31

⇒ ? = 31

Hence, the value of missing number is equal to 31.

Answer 2

Answer: 29

Step-by-step explanation:

As you see, 6-5 = 1, 9-6 = 3, 16-9 = 7, further subtract obtained results

So, 3-1 = 2, 7-3 =4 , further subtract obtained results

So, 4-2 = 2. From here, next term = 4+2 = 6

So, next term in upper layer = 7+6 = 13

Hence, next term in final layer = 16+13 = 29

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