3 years ago

As a product of prime factors 36 = 22 × 32 Write 48 as a product of prime factors.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

4 0

The answer is: 2x3x2x2x2

katrin [286]3 years ago

3 0

Answers is 2x3x2x2x2

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What is the sum of the first 5 terms of geometric series with a1=10 and r=1/5

steposvetlana [31]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=10\\
n=5\\
r=\frac{1}{5}
\end{cases}$

$\bf S_5=10\left( \cfrac{1-\left( \frac{1}{5} \right)^5}{1-\frac{1}{5}} \right)\implies S_5=10\left( \cfrac{1-\frac{1}{3125}}{\frac{4}{5}} \right)
\\\\\\
S_5=10\left( \cfrac{\frac{3124}{3125}}{\frac{4}{5}} \right)\implies S_5=10\cdot \cfrac{781}{625}\implies S_5=\cfrac{1562}{125}$

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