Sunday, November 29, 2009

`a_1 = 2, r = x/4` 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 = 2*(x/4) = x/2`


`a_3 = a_2*q => a_3 =x/2*x/4 = (x^2)/8`


`a_4 = a_3*q => a_4 =(x^2)/8*x/4 = (x^3)/32`


`a_5 = a_4*q => a_5 =(x^3)/32*x/4 = (x^4)/128`


Hence, evaluating the five terms of geometric sequence yields `a_1 =2, a_2 = x/2, a_3 = (x^2)/8, a_4 = (x^3)/32, a_5 =  (x^4)/128.`

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