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4 years ago

A number increased by negative four is equal to seventeen. Which equation could be used to find the number?

1 answer:

3 0

So,

We can "translate" this sentence into mathematical form.

"A number"
n

"increased by negative four"
-4 or + (-4)

"is equal to seventeen."
= 17

So it can be either n - 4 = 17 or n + (-4) = 17. It can also by -4 + n = 17, etc.

Clearly, option B is the only one that qualifies as an accurate "translation" of our sentence.

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Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?

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For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$ .

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

$\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............$

The sum of the series will be given as:

$S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)$

$S_n=3 (\dfrac{1}{2})^n$

Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$

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