Monday, March 5, 2012

`a_1 = 6, r = -1/4` 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 = 6*(-1/4) => a_2 = -3/2`


`a_3 = a_2*q => a_3 = (-3/2)(-1/4) = 3/8`


`a_4 = a_3*q =>a_4 = 3/8*(-1/4) = -3/32`


`a_5 = a_4*q =>a_5 = (-3/32)(-1/4) = 3/128`


Hence, evaluating the five terms of geometric sequence yields `a_2 = -3/2, a_3 = 3/8, a_4 = -3/32, a_5 = 3/128.`

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