Determine the common ratio of the infinite geometric sequence given its first term and sum

11.) A1=2 and S=3

13.) A1=2 and S=8

15.) A1=8 and S=10

17.) A1= 6 and S=12

19.) A1=2 and S=25

Solve for the indicated sum of terms in the following finite geometric sequences

S6= {1,3,9,...}

S9={4,12,36,...}

S7={-2,-10,50,-250,...}

S8={-24,-12,-6,...}

S5={1,-4,16}

S9={2,16,128}

S7={2,12,72}

S5=5{1/36,1/6,1,...}

B. 1. In the geometric sequence 3, 12, 48, ..., which term is 196 608? [2 points]

2. If k + 2, 5k + 1, k + 11, ... form a geometric sequence, find the following:

a. The value of k

b. The first three terms of the geometric sequence

c. The common ratio

Show the complete solutions and box the final answer. [6 points]