Suppose the fifth term of a geometric sequence is 25 and the ninth term is 400. Find the first term.
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Suppose the fifth term of a geometric sequence is 25 and the ninth term is 400. Find the first term.
Suppose the fifth term of a geometric sequence is 25 and the ninth term is 400. Find the first term.
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ANSWER:
The first term is 25/16.
SOLUTION:
We are given the ffg. values.
Solve for the common ratio first.
» There are 5 terms from to . So we let n = 5
Solve for the first term.
» Use the formula for the nth term in a geometric sequence. Select any term from the given as the nth term.
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