`a_1 = 3, r = sqrt(5)` Write the first five terms of the geometric sequence.

Thursday, April 3, 2008

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 = 3*sqrt5 `

`a_3 = a_2*q => a_3 = 3sqrt5*sqrt5 = 15`

`a_4 = a_3*q => a_4 =15*sqrt5 `

`a_5 = a_4*q => a_5 =15sqrt5*sqrt5 = 75`

Hence, evaluating the five terms of geometric sequence yields `a_1 =3, a_2 = 3*sqrt5 , a_3 = 15, a_4 = 15*sqrt5, a_5 = 75.`

Notes