The fourth term of a Geometric Progression is 48 and the sixth term is 12. Find the
1 answer:
Answer:
Common ratio = 1/2 and first term = 384
or common ratio = -1/2 and first term = -384.
Step-by-step explanation:
T6/T4 = r^5 / r^3 where r = the common ratio and T6 and T4 are 6th and 4th terms
r^5 / r^3 = 12/48
r^2 = 1/4
so r = +/- 1/2 .
The 4th term = a r^3 where a = first term.
If r = 1/2:-
48 = a *(1/2)^3 = a/8
a = 8*48
= 384.
if r = -1/2, then a = -384
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Step-by-step explanation:
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