Answer:
A = -49,152
Step-by-step explanation:
The sequence -3, -12, -48, -192 have a geometric Progression.
How did I know that?
The common ratio is gotten by diving the preceding value by a previous one. Such that:
r : -12 / -3 = 4
r : -48 / -12 = 4
Which ever one you pick, gives thesame commonn ration "r" as 4.
Lets proceed.
Geometric Progression (GP) is defined as:
GP: ar^n-1
Where "a" is the first term -3
r is the common ration = 4
n is the number of term = 8th
To solve for the 8th term!
= ar^ 8-1
= ar^7
= -3 * 4 ^ 7
= -3 * 16384
= -49152
Enjoy! Maths is fun!