# Precalculus: Sequences and Series Geometric Series

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True
False

6558
6778
6989
7001

### Calculate the sum of the first 7 terms for the following geometric series: $$100 + 75 + 50 + ...$$

$$\frac{3175}{4}$$
$$\frac{3175}{64}$$
$$\frac{3175}{32}$$
$$\frac{3175}{16}$$

4376
4222
4132
4009

### Calculate the sum of the first 7 terms for the following geometric series: $$\frac{1}{3} + \frac{1}{6} + \frac{1}{12} + ...$$

$$\frac{71}{192}$$
$$\frac{127}{192}$$
$$\frac{127}{181}$$
$$\frac{192}{127}$$

19845
20001
23436
33458

-2673
-2245
-2111
-2010

302451
335923
384512
442254

### Evaluate the sums for the following geometric series. $$4 + 2 + 1 + ... + \frac{1}{1024}$$

$$\frac{8191}{512}$$
$$\frac{8191}{256}$$
$$\frac{8191}{3}$$
$$\frac{8191}{1024}$$

9.5 m
10.8 m
11 m
16.7m