Question

37,39,42,47,54,65,?​

Answer 1

Answer:

78

Step-by-step explanation:

the next number is 78

reason:

39-37=2

42-39=3

47-42=5

54-47=7

65-54=11

difference are the prime numbers so the next prime number is 13 so the difference between next no. and 65 is 13 .

65+13=78

Answer 2

The missing number is 78

Step-by-step explanation:

The given sequence is 37,39,42,47,54,65,?​

The first term is 37.

When we add 2 to the first term, then we'll get the second term.

39 = 37 + 2

On adding 3 to the second term, then we'll get the third term.

42 = 39 + 3

On adding 5 to the third term, then we'll get the fourth term.

47 = 42 + 5

On adding 7 to the fourth term, then we'll get the fifth term.

54 = 47 + 7

On adding 11 to the fifth term, then we'll get the sixth term.

65 = 54 + 11

Looking into the patterns we can see that, every time we are adding prime numbers to next term.

So, now to get the seventh term, we add next prime number, 13 to the sixth term.

Therefore, we have

? = 65 + 13

? = 78

Therefore, the missing number is 78

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