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2 years ago

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Which weigh more 5.2 grams or 500 centigrams

1 answer:

ollegr [7]2 years ago

6 0

<span>SSo the question is what mass is greater: 5.2 grams or 500 centigrams. To answer that we need to know how many centigrams are there in a gram. So 1 centigram is 0.01 gram. So in this case, 500 centigrams is equal to 5 grams. So the conclusion is that 500 centigrams is less than 5.2 grams.</span>

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lianna [129]

Answer:

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Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: $a_n=ar^{n-1}$

(where a is the first term and r is the common ratio)

Given:

$\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}$

Therefore:

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<u>Sum of the first n terms of a geometric series</u>:

$S_n=\dfrac{a(1-r^n)}{1-r}$

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

$\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}$

$\implies S_{20}=32.58609013...$

$\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)$

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