SOLUTION: If the first 3 items of a geometric progression are a − 1, a +3, and 3 a +1 for some positive
number a, what is the numerical value of the fourth term?
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Question 957592: If the first 3 items of a geometric progression are a − 1, a +3, and 3 a +1 for some positive
number a, what is the numerical value of the fourth term?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
the first terms of a geometric progression are
,
, and
for some positive number
In a Geometric Sequence each term is found by the previous term by a .
Let a be :
..........(1)
..........(2)
make
............cross multiply
........simplify
solutions:
or
since given that first 3 terms are , , and for some
number , our solution is
so, your terms are:
,
, and
now find
..........(1)
so, the fourth term is
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