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3 years ago

0.3y + y/z= y=10 and z=5

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

Step-by-step explanation:

write the equation

0.3y + y/z=

Then you fill in what you know

0.3(10) + 10/5=

then we multiply/divide

30 + 10/5

then we continue to multiply/divide untill there is nothing to multiply/divide anymore

30+2

then we add/subtract

Our answer is 32

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4 years ago

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Answer:

Step-by-step explanation:

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What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
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Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

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