Question

Find the next number in the given series $79,64,26,15$.

Answer 1

Calculate the next number in the given series:

Given series, $79,64,26,15$.

The first term is $79$.

It can be observed that the second term can be expressed as, $64=\left(7\times 9\right)+1$.

The third term can be expressed as, $26=\left(6\times 4\right)+2$.

The fourth term can be expressed as, $15=\left(2\times 6\right)+3$.

Thus, it can be observed that the succeeding term in the series can be obtained by multiplying the digits of the preceding term and adding the the number's order in the series.

Thus, the next term can also be found in a similar manner, $\left(1\times 5\right)+4=5+4=9$.

Therefore, the next number of the given series is $9$.