Question

Here is a pattern of dots. how many dots will there be in step 10

Answer 1

Given data:

The given pattern is shown.

The expression for the dot pattern is,

`a_n=n^2+1_{}`

For step 10 subtitute 10 for n in the above expression.

`\begin{gathered} a_(10)=10^2+1 \\ =101 \end{gathered}`

Thus, the numbers of dots in step 10 are 101.