The first term of a geometric sequence is 3 and the sum of the second and the third is 60 determine the first three terms and the general term

6 answers

a + ar + ar^2 ...+ ar^(n-1)

a = 3

a r+ a r^2 = 60

r + r^2 = 20

r^2 + r - 20 = 0

(r-4)(r+5) = 0

r = 4

3 + 12 + 48 ....

3 * 4^(n-1)
Why did you use negative 5
I meant why didn't you use negative 5
Because when you multiply negative 5 and 4 you will get negative 20 but when you add you’ll get -1 .
So you have to multiply-4 with 5 to get -20 and when you add you get +1( the r is positive)
Where does the "a" go
The first term of a geometric sequence is 3 and the sum of the second and the third is 60 determine the first three terms and the general term