Question

An iterative formula is shown below.

Starting with x₁
Xn+1 = Xn + 3
=
21, work out the value of 2.

Answer 1

To find the value of X2 in the iterative formula Xn+1 = Xn + 3, starting with X1 = 21, the value is 24.

Step-by-step explanation:

An iterative formula is a formula that gives the next term in a sequence based on the previous term(s). In this case, the iterative formula is Xn+1 = Xn + 3, where Xn is the current term and Xn+1 is the next term. To find the value of X2 in the sequence starting with X1 = 21, we can substitute X1 = 21 into the formula: X2 = X1 + 3 = 21 + 3 = 24.

Answer 2

the value of x_2 is,

`x_(2) = 24`

Step-by-step explanation:

We have the formula,

`x_(n+1) = x_(n) + 3`

And we are given that,

`x_(1) = 21`

Then finding x_2, we have

`x_(1+1) = x_(1) + 3\\x_(2) = x_(1) + 3\\\\since , x_(1) = 21, we \ have \\x_(2) = 21 + 3\\x_(2) = 24`

So,

`x_(2) = 24`