`a_1 = 1, r = 1/2` Write the first five terms of the geometric sequence.

Monday, March 1, 2010

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*1/2 => a_2 = 1/2`

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

`a_4 = a_3*q => a_4 =1/4*1/2 = 1/8`

`a_5 = a_4*q => a_5 =1/8*1/2 = 1/16`

Hence, evaluating the five terms of geometric sequence yields `a_2 = 1/2, a_3 = 1/4, a_4 = 1/8, a_5 = 1/16.`

Notes