Question

For all integers k, let k* be defined as k* = k(k-1). What is the value of 5*?​

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here we go ~

As per the given information,

`\qquad \sf  \dashrightarrow \: k {}^(*) = k(k-1)`

we need to find the value of k* when k = 5 ~

So, simply plug in the value ~

`\qquad \sf  \dashrightarrow \: 5 {}^(*) = 5(5-1)`

`\qquad \sf  \dashrightarrow \: 5 {}^(*) = 5(4)`

`\qquad \sf  \dashrightarrow \: 5 {}^(*) = 20`

So, our required value is 20 ~

Answer 2

Answer: 20

Work Shown:

k* = k(k-1)

5* = 5(5-1)

5* = 5(4)

5* = 20