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adelina 88 [10]
3 years ago
11

1. What are the next two terms of the following sequence?

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0
All of your marked answers are right
you're very smart (:
Sophie [7]3 years ago
4 0

Answer:

1.  13, 17                       Option D

2. -2                            Option B

3. 2                             Option C

4. F(n) = 3+4(n-1)        Option D

Step-by-step explanation:

1.  

Given sequence is:   1, 5, 9....

Common difference =  5-1 = 9-5 = 4

Next term is :

9+4 = 13

and

13+4= 17

So, next two terms are:  13 & 17.

2.

Given sequence is :

102, 100, 98, 96....

Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2

3.

Given rule is :

Aₙ  = -14 + (n - 1)(2)

Find the 9th term

so, we put n = 9

A₉ = -14 + (9-1)*2

A₉ = -14 + 8*2 = -14 + 16

A₉ = 2

Ninth term is 2.

4.

Given sequence is:

3, 7, 11, 15.....

Write the nth term

Formula is :

F(n) = a₁ + (n-1)d

Where a₁ is first term

n is number of terms

d is common difference

a₁ = 3

d = 7-3 = 11-7 = 15 - 11 = 4

So nth term is :

F(n) = 3 + 4(n-1)

That's the final answer.

You might be interested in
What is 12 1/2% of 256
s344n2d4d5 [400]
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!

6 0
3 years ago
X/3-15=-2 solve for x
Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step  1  : <u>Simplify</u>

\frac{x}{3}      

Equation at the end of step  1  :

\frac{x}{3} -  15  = 0    

Step  2  :

<u>Rewriting the whole as an Equivalent Fraction :</u>

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :            

15=\frac{15}{1} =\frac{15*3}{3}

<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole

<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

\frac{x-(15*3)}{3} =\frac{x-45}{3}

Equation at the end of step  2  :

\frac{x-45}{3} =0

Step  3  :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

\frac{x-45}{3}*3=0*3

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-45  = 0

Solving a Single Variable Equation :

<u>Solve  :</u>    x-45 = 0

Add  45  to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0
3 years ago
Help pls asap!!! Make sure to answer all of them!
Mariulka [41]

Answer:-4

-3

-2

Step-by-step explanation:

thx

3 0
2 years ago
Jason is 4.52 feet tall his sister is 0.75 times his hight how tall is his sister
STatiana [176]
His sister is 7.895 feet tall.
3 0
3 years ago
Estimate the difference 7 3/4-2/25 Show your work.
crimeas [40]

Answer: 7 3/4 - 2/25 = 767/100  = 7  67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4  = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

6 0
2 years ago
Read 2 more answers
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