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The fifth term of a geometric progression is 1 and the common ratio is ½.
Find (a) the eighth term and (b) an expression for the nth term.
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(a) The 8-th term is = = . ANSWER
The 1-st term is = = = 16.
(b) The n-th term is = = = = = . ANSWER
For (b), you can take any of these four last equivalent expressions.
Solved.
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On geometric progressions, see introductory lessons
- Geometric progressions
- The proofs of the formulas for geometric progressions
- Problems on geometric progressions
- Word problems on geometric progressions
in this site.
Learn the subject from there.