Question Type 4: Finding the sum of the first n terms given the first term and the common ratio Exercises

Find the sum of the first 6 terms of the geometric series with first term $u_1=3$ and common ratio $r=2$.

Calculate the sum of the first 4 terms of a geometric series where $u_1=5$ and $r=3$.

Determine the sum of the first 5 terms of the geometric progression with $u_1=4$ and $r=0.5$.

Find the sum of the first 8 terms of a geometric sequence with first term $u_1=2$ and common ratio $r=\tfrac12$.

Find the sum of the first 6 terms of a geometric series where $u_1=7$ and $r=-1$.

Find the sum of the first 5 terms of the geometric series with $u_1=100$ and $r=0.1$.

Calculate the sum of the first 7 terms of the geometric sequence with $u_1=5$ and $r=-2$.

Find the sum of the first 6 terms for the geometric progression with $u_1=1.5$ and $r=2.5$.

Determine the sum of the first 7 terms for the geometric sequence with $u_1=8$ and $r=\tfrac13$.

Calculate the sum of the first 9 terms of the geometric progression with $u_1=0.75$ and $r=1.2$.

Determine the sum of the first 10 terms of a geometric series with first term $u_1=2$ and common ratio $r=3$.

Calculate the sum of the first 8 terms of the geometric progression with $u_1=6$ and $r=-0.5$.