Question 1029025
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The first term of a geometric progression is 5 and the fifth term is 1280, the common ratio is 4

Find the expression of the nth term? 
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1.  {{{a[n]}}} = {{{a[1]*r^(n-1)}}} = {{{5*r^(n-1)}}} is the expression for the n-th term.

2.  The info "and the fifth term is 1280" is excessive and is not used in this evaluation.


3.  To learn more on geometric progressions, see the lesson  <A HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Geometric-progressions.lesson>Geometric progressions</A>  in this site.
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