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

Find the sum of the first 10 terms of a geometric sequence when $u_1 = 4$ and $r = 1$.

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

Find the sum of the first 4 terms of a geometric sequence with first term $u_1 = 5$ and common ratio $r = 3$.

A geometric series has $a=3$ and $r=2$. Find the smallest integer $n$ such that the sum $S_n>300$.

Compute the sum of the first 7 terms of a geometric sequence with $u_1 = 9$ and common ratio $r = \tfrac{1}{3}$.

Find the sum of the first 8 terms of a geometric sequence where $u_1 = 2$ and $r = 0.5$.

Find the sum of the first 9 terms of a geometric sequence with $u_1 = 256$ and $r = 0.5$.

Find the sum of the first 5 terms of a geometric sequence with $u_1 = 7$ and common ratio $r = -2$.

Calculate the sum of the first 6 terms of a geometric sequence with $u_1 = 10$ and $r = 1.5$.

Find the sum of the first 6 terms of a geometric sequence with $u_1 = 0.2$ and $r = 4$.

Calculate the sum of the first 12 terms of a geometric sequence with $u_1 = 50$ and $r = 0.9$.