SPM Practice Question 7 – 9

Question 7:
Given a geometric progression $\frac{2}{z},3,\frac{9z}{2},q,\mathrm{....}$ express q in terms of z.

Solution:

Question 8:
The second and the fourth term of a geometry progression are 10 and $\frac{2}{5}$ respectively. Find
(a) The first term and the common ratio where r > 0,
(b) The sum to infinity of the geometry progression.

Solution:

Question 9:
In a geometric progression, the first term is 18 and the common ratio is r.
Given that the sum to infinity of this progression is 21.6, find the value of r.

Solution: