Answer :
The next term in series is 40
Solution:
Given that, we have to find the missing number in series
Given series is:
7, 16, 8, 27, 9, ?
Let us understand the pattern followed in series
[tex]First\ term = 7\\\\Second\ term = 7 \times 2 + 2 = 14 + 2 = 16\\\\Third\ Term = 8\\\\Fourth\ Term = 8 \times 3 + 3 = 24 + 3 = 27\\\\Fifth\ Term = 9\\\\Sixth\ Term = 9 \times 4 + 4 = 36 + 4 = 40[/tex]
It appears that every other number starting at 7 is consecutive. Hence, 7, 8, 9, 10
However 16, 27 are multiplied and added by 2, 3, and goes on
Thus the next number in series is 40