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3 years ago

8n - 7 = -5(-3n - 7) Solve Multi-Step equation. Please explain how you i can understand too!

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

n=-6

Step-by-step explanation:

8n-7=-5(-3n-7)

Multiply -5 to -3n and -7

8n-7= 15n+35

Bring 8n to the other side by subracting it from 15n

-7=7n+35

Subtract 35 from both sides

-42=7n

Divide both sides by 7

n=-6

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➣ Assignment: $\bold{Solve \ Equation: \ -14x>-3}$

↔↔↔↔↔↔↔↔

➣ Answer: $\boxed{\bold{x$

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

➤ [ Step One ] Multiply Both Sides By -1 (Reverse Inequality)

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3 years ago

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<h3><u>Answer:</u></h3>

$\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}}$

<h3><u>Step-by-step explanation:</u></h3>

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

$\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}$

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

$\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}$

Hence here

Common difference = 1
First term = 1 .

<u>Substituting the respective values,</u>

$\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}$

<h3><u>Hence the nth term of the given sequence is given by ¹/n .</u></h3>

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