Saturday, May 1, 2010

`a_1 = 1, r = e` Write the first five terms of the geometric sequence.

The first five terms of geometric sequence can be computed with formula, such that:


`a_n = a_(n-1)*q`


`a_2 = a_1*q => a_2 = 1*e`


`a_3 = a_2*q => a_3 = e*e = e^2`


`a_4 = a_3*q => a_4 =e^2*e = e^3`


`a_5 = a_4*q => a_5 =e^3*e = e^4`


Hence, evaluating the five terms of geometric sequence yields `a_1 =1, a_2 = e, a_3 = e^2, a_4 = e^3, a_5 =  e^4.`

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