`a_1 = 4, r = -1/sqrt(2)` 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 =4*(-1/sqrt2) => a_2 = -2sqrt2 `

`a_3 = a_2*q => a_3 =(-2sqrt2)*(-1/sqrt2) = 2` 

`a_4 = a_3*q => a_4 =2*(-1/sqrt2) = -sqrt2`

`a_5 = a_4*q => a_5 =(-sqrt2)*(-1/sqrt2)= 1`

Hence, evaluating the five terms of geometric sequence yields `a_1 = 4, a_2 = -2sqrt2, a_3 = 2, a_4 =  -sqrt2,  a_5 =  1.`