SOLUTION: The third term of a geometric sequence is 12 and
the fifth term is 163.
Determine the formula for an, nth term of this sequence.
Find the value of a⬇️25. (a25 with 25 on bo
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Question 1154626: The third term of a geometric sequence is 12 and
the fifth term is 163.
Determine the formula for an, nth term of this sequence.
Find the value of a⬇️25. (a25 with 25 on bottom)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The third term of a geometric sequence is
and the fifth term is
the formula for an nth term of this sequence:
from given above we have
.......eq.1
and
.......eq.2
solve the system:
.......eq.1
.......eq.2
------------------------------------
.......eq.1.....solve for
.......eq.1a..........substitute in eq.2
.......simplify
-> exact solution
go to eq.1a
............substitute
-> first term
then, the formula for an nth term of this sequence:
the value of will be
-> exact solution
≈
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