Use the geometric series formula to find the sum $1 + \frac{3}{ 10 } + \frac{3}{100 } + \frac{3}{1000}$ Express the answer as a decimal.
A) 0.333
B) 1.333
C) 1.334
D) 1.4

Question

Quizplus · Accepted Answer

The given series is a geometric series with the first term $a = 1$ and common ratio $r = \frac{3}{10}$. The sum of the first four terms of a geometric series can be calculated using the formula $S_n = a\frac{1-r^n}{1-r}$, where $n$ is the number of terms. Substituting the given values, we get $S_4 = 1\frac{1-(\frac{3}{10})^4}{1-\frac{3}{10}}$. Simplifying this gives $S_4 = 1.333$, which is option B.

Use the Geometric Series Formula to Find the Sum 1+310+3100+310001 + \frac{3}{ 10 } + \frac{3}{100 } + \frac{3}{1000}1+103​+1003​+10003​

Use the Geometric Series Formula to Find the Sum $1 + \frac{3}{ 10 } + \frac{3}{100 } + \frac{3}{1000}$