Question

If A1 equals four a N equals parentheses eight minus one parentheses two square root of 2+4 then find the value of a4

Answer 1

The value of A4​ is
`49√(2+4)`.

The formula given is a recursive definition of a sequence where A1​ is defined as 4, and An​ for any term nis calculated based on the previous term A n−1​. For A4​, it involves substituting n=4 into the formula and simplifying,

A1 =4 and An=(8−1)^2
`√(2+4)`

To find the value of A4, substitute n=4 into the formula:

`A_4=(8-1)^2√(2+4)`

`A_4=49\sqrt{2+4`

So, the value of A4 is
`49√(2+4)`.