800 the strategy I used was adding 32 over and over 25 times
What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16
a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1