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3 years ago

1/3x + 1/3 = 7x + 5/ 2 find x

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

-13/40 or -0.325

Step-by-step explanation:

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What is the sum of the series infinity e n-1 -7(3/8)^n?

soldier1979 [14.2K]

Let

$S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)$

Then

$\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)$

$S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)$

$\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)$

$S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)$

As $N\to\infty$ , the exponential term will converge to zero, so the infinite sum converges to

$\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}$

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2 years ago

In general, why is a common denominator necessary to add and subtract fractions?

gogolik [260]

Answer:

Step-by-step explanation:

makes it easier.

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3 years ago

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Calculate the weighted mean from the following sales, $400, 700, 300, 600, 300 ,400, 700?,

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About 486.

Just add all of the numbers, and divide by the number of numbers(Don't question).

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4 years ago

How to combine like terms? Plz help meh I’m at 2% batt.

Darya [45]

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3 years ago

Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4

Kobotan [32]

Answer:

x=-2

Step-by-step explanation:

−5x−2+2x=−2x+4+2x

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Step 3: Divide both sides by -3.

−3x

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3 years ago

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