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2 years ago

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Mathematics

2 answers:

Sphinxa [80]2 years ago

8 0

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

nexus9112 [7]2 years ago

6 0

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

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Can someone help me with this please

stellarik [79]

Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign

Step 1: subtract 2x from each side

2x - 7y - 2x = 19 - 2x

This cancels out the 2x on the left, giving us

-7y = 19 - 2x

Step 2: divide both sides by -7

$\frac{-7y}{-7}$ = $\frac{19}{-7}$ + $\frac{-2x}{-7}$

This gives us

y = -19/7 + 2x/7

That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.

When x = -3

y = -19/7 + 2x/7

y = -19/7 + 2(-3)/7

y = -19/7 - 6/7

y = -25/7

When x = 0

y = -19/7 + 2x/7

y = -19/7 + 2(0)/7

y = -19/7

When x = 3

y = -19/7 + 2x/7

y = -19/7 + 2(3)/7

y = -19/7 + 6/7

y = -13/7

Hope that helps! Feel free to ask if I can help with anything else :)

7 0

2 years ago

Benecio worked 40 hours at his two jobs last week. He earned $20 per

miv72 [106K]

Answer:

25 hours on his week job and 15 hours on his weekend job

Steps

20 times 25 is 500 for pay

18 times 15 is 270 for pay

Just add them

500 plus 270 equals 770 for pay

And 15 plus 25 is 40 total in hours

7 0

2 years ago

Last week, Kip went to the fair. It costs $3.50 to enter the fair and $0.75 per ticket. In the equation below, x represents the

marissa [1.9K]

Answer:

16 tickets

Step-by-step explanation:

15.50-3.50=12

12/0.75=16

4 0

2 years ago

2 ( -2w - 1.2 + 7x) =

PSYCHO15rus [73]

Hope this will help u...:)

8 0

3 years ago

You are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 secon

AnnyKZ [126]

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

Learn more here: brainly.com/question/17003809

4 0

2 years ago