Question 1026926
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The first term of a geometric progression is 5 and the fifth term is 1280 find the common ratio of the progression.?

Can I be shown step by step please as I need to be explained this in detail as I do not understand. 
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Use the formula for the n-th term of geometric progression

{{{a[n]}}} = {{{a[1]*r^(n-1)}}}.

With the given data, you have 

{{{1280}}} = {{{5*r^4}}}  --->  {{{r^4}}} = {{{1280/5}}} = 256  --->  {{{r}}} = {{{root(4,256)}}}.

This fourth root has 4 values in the complex domain, but if you need only real values, they are +/- 4.
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