Question

Number serieswhat number comes next in the following series 27, 28, 32, 41, 57, 82, ?

Answer 1

The number that comes next is;

`118`

Step-by-step explanation:

Given the series;

`27,28,32,41,57,82`

From the series, if we observe the series closely we can see a relationship between the difference between consecutive terms.

`\begin{gathered} 28-27=1=1^2 \\ 32-28=4=2^2 \\ 41-32=9=3^2 \\ 57-41=16=4^2 \\ 82-57=25=5^2 \end{gathered}`

We can see that the difference follows the same pattern.

So, the next term would be the sum of the last term and the square of 6;

`\begin{gathered} 82+6^2 \\ =82+36 \\ =118 \end{gathered}`

Therefore, the number that comes next is;

`118`