In A Geometric Sequence The 3rd Term Is 24 And The 5th Term Is 3. Write Down The First Four Terms In The Sequence.

3 answers

The 3rd Term Is 24 ---> ar^2 = 24
The 5th Term Is 3 ---> ar^4 = 3
divide them
r^2 = 3/24 = 1/8
r = 1/2√2
a(1/64) = 24
a = 24*64 = ...

now form your terms
r^2 = 3/24 = 1/8
r = 1/√8 = √2/4
ar^2 = 24
a = 24*8 = 192
So the sequence is
192, 48√2, 24, 6√2, 3, ...
Yufiigh
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