Question

Find the sum of the first 7 terms of the following sequence 3,-5,25/3 Round to the nearest hundredth if necessary.

Answer 1

This is a geometric sequence with first term 3 and a common ratio of -5/3.

Using the sum of a geometric series formula,

$\frac{3(1-(-5/3)^{7}}{1-(-5/3)} \approx \boxed{41.31}$