Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
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x^2 = the first integer
(x - 1)^2 = the second integer.
x^2 - (x - 1)^2 = ?
First, let's plug a number into our equation for x.
(2)^2 - (2 - 1)^2 = ?
4 - (1)^2 = ?
4 - 1 = 3
As we can see the difference is odd but it's also the sum of the two consecutive integers.
2 + 1 = 3.
This works for all numbers. Let's plug another number into our equation for x.
(4)^2 - (4 - 1)^2 = ?
16 - (3)^2 = ?
16 - 9 = 7
4 + 3 = 7
Try any number and it will always be odd.
I think It’s 0.70 and in fraction is 512/729
The answer is to the geometric sequence is 512
