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Arada [10]
3 years ago
10

Tell wether the sequence is arithmetic. If it is identity the common difference. 19,8,-3,-14

Mathematics
1 answer:
irakobra [83]3 years ago
8 0
This is an arithmetic the common difference is 11.
so 19-11 is 8
8-11 is 3 etc...
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Ind an equation for the nth term of the arithmetic sequence.<br><br> a14 = -33, a15 = 9
marin [14]

Answer:

a_n=42n-621

Step-by-step explanation:

This is arithmetic sequence so you should go to linear equations in your head.

Think of the question asking you to find the equation of line going through the points:

(14,-33) and (15,9).

First, let's find the slope.

You need to compute y's change over x's change.

The way I like to do that is line up the points vertically, subtract them, and then put 2nd difference over first.

Like this:

(  15  ,   9)

-(  14  ,  -33)

------------------

   1         42

So the slope is 42/1=42.

(The slope is our common difference.)

Now point slope form is:

y-y1=m(x-x1) where m is the slope and (x1,y1) is a point you know on the line.

So we have m=42 and (x1,y1)=(15,9).  (You could have chose the other point.)

y-9=42(x-15)

I'm going to put in slope-intercept form.  Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

y-9=42(x-15)

Solve for y by adding 9 on both sides:

y=42(x-15)+9

Distribute 42 to terms in the ( ) :

y=42x-42(15)+9

y=42x-630+9

y=42x-621

So we can which back to n now:

a_n=42n-621

5 0
2 years ago
What is 1 7/8 times 5/6
hoa [83]

Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)

Steps:

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}

\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}

\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}

\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}

\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}

Hope this helps!!!

3 0
3 years ago
There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.8% eac
Nimfa-mama [501]

Answer:

y = 650·0.922^t

Step-by-step explanation:

At the end of each year, 92.2% of the amount at the beginning of the year remains. That is, the beginning amount is multiplied by 0.922. The exponent t in 0.922^t tells how many times (years) that multiplication has taken place. At the end of t years, the amount remaining in milligrams (y) is ...

y = 650·0.922^t

5 0
3 years ago
What’s the square root of 8<br> (20 points)
antoniya [11.8K]

Answer:

answer is 2

Step-by-step explanation:

can you mark me brainlist

5 0
2 years ago
Find the inverse of the equation below.<br> y =(x + 1)2
bearhunter [10]

Answer:

f^-1 (x) = x/2 - 1

ps the ^ means to the power of so its f to the power of -1.

hope it helps!!

8 0
3 years ago
Read 2 more answers
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