Mathematics High School

Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...

Find the nth term rule for the number of
matchsticks in pattern n

Answers

Answer 1

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n

Related Questions

How do if find y=-3x+10 and y=-2+6?

Answers

Yep the other one is right it is (4,-2)

please answer correctly and quickly all question please please please

Answers

5. Part A- X is less than 54
Part B- x is greater than or equal to 13
9. 0 is the answer
10. J=5 and draw a line going right from the number 2 with a filled in circle

ILL MARK AS BRAINLIEST

Mrs. Zahid bought 6 bouquets at $ m each, and 8 packs of chocolates at $ ‘n’ each. She had $(2m + 5n) left. Find the amount of money she had at first.

Answers

Answer:

$(8m + 13n)

Step-by-step explanation:

Given that :

Total Cost of 6 bouquet = 6m

Total cost of 8 chocolate = 8n

Total amount spent = $(6m + 8n)

Total amount left = $(2m + 5n)

Hence, amount had at first :

Total amount. Spent + total amount. Left

(6m + 8n) + (2m + 5n)

(6m + 2m + 8n + 5n)

$(8m + 13n)

Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M

Answers

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

<R = 60degrees

<S = 80 degrees

Since <R = <M, then <M = 60degrees

if there 5 people and 50 wing how many do everybody get in number

Answers

Answer:

then its answer is 10

Step-by-step explanation:

if there are 50 wings and 5 people then multiplying 5 into 10 is 50

Guys Im so confused right now on these questions please stop and help meh

Answers

Answer:= 293.09

Step-by-step explanation:

poop

wjadjafsbhk,feghkfgeHKfdGHKfdghfdghjkfdghsjkghkjdfsghjkfsdhSBDFD,mngFHgaEFAWWadw1232432134131341414233122

please help with question 2 50 points for answer and brainliest

Answers

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

(19 + 2) x 11 + 3 hhhh

Answers

Answer:

234

Step-by-step explanation:

19+2=21
11+3=14
Answer: 294

Which pair of angles are corresponding angles? (The two horizontal lines are parallel)pls help

Answers

Answer:

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Step-by-step explanation:

Hello There!

There are many pairs of corresponding angles shown

The image below shows what corresponding angles look like

The following pairs of angles are corresponding angles

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

You have a coupon for an additional 10% off the price of any sale item at a store. The store has put a laptop on sale for 25% off the original price of $750. What is the price of the laptop after both discounts?​

Answers

Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

where the freaky ladies at tho

Answers

Answer:

I was wondering the same thing :(

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours? please help!!!

Answers

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

urgent !!

In Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is less than 5%.
For her first lab report, she calculated the value of the acceleration due to gravity three times. She got the following three values.

9.56 ms2
9.72ms2
9.88ms2
The accepted value of the acceleration due to gravity is 9.8ms2.
Which option is closest to Cynthia's percent error?

about 8%
about 1%
about 0.8%
about 5%

Answers

Answer:

9.56 Ms2

Step-by-step explanation:

help please ty <3 ly

Answers

Answer:

totally false

Step-by-step explanation:

it is not the same rate

Answer:

joe mama

Step-by-step explanation:

Solve by subsititution:
X = - 3y + 1
-3x - 3y = -15

Answers

Answer:

y=-2   x=7

Step-by-step explanation:

What is 4 times 2 please I’m in need of an answer

Answers

8 is the answer to your question

Answer:

8 should be the answer.

Step-by-step explanation:

4 × 2 = 8

Can someone help me. Will Mark brainliest.

Answers

Answer:

The answer is 50.

Hope this helps. sry if it is wrong

Can somebody help me with this please

Answers

Answer:

Y = 2x + 4

Step-by-step explanation:

As the question said the slope is 2, so you put 2 with x.

The point you are given is (1,6), so you backtrack to X = 0, and since the slope is 2 you subtract 2 from 6. now you're at (0,4), giving you 4.

HELP: find the measure of the arc or angle indicated, assume that lines which appear tangent are tangent

Answers

Answer:

3) B. 65°4) D. 120°

Step-by-step explanation:

Question 3

Angle formed outside is half of the difference of intercepted arcs

m∠F = 1/2(( 360° - 115°) - 115°) = 1/2(130°) = 65°

Correct choice is B

Question 4

Angle formed by two chords is half of the sum of intercepted arcs

m∠WTU = 1/2(105° + 135°) = 1/2(240°) = 120°

Correct choice is D

The school bus arrives late 2/7 of the time.
The probability that it rains during a hurricane is 1.

Answers

My guy what does a school bus have to do with a hurricane and rain ☔️ this makes no sense.

How long is the blue line in inches? Enter your final answer as a simplified mixed fraction.

Answers

Answer:

4 5/8

Step-by-step explanation:

Given function:

ruler measure ( between 4 and 5 )

Find the fraction area:

ok so let see what we know about this..middle of 4 and 5 also seems like in the middle of 4 1/2 to 4 3/4let convert these fraction into a denominator of 8..2/4=4/83/4=6/8find the middle of 4/8 and 6/84/8,5/8,6/8

Therefore, the blue line is 4 5/8 inches long.

Rewrite 4a + 7a using the Distributive Property.
a + a + a + a + a + a + a + a + a + a + a
4(a + a)
28a
a(4 + 7)

Please help, i am bad with algebra​

Answers

Answer:

4+2= 6+ 4+7= 17+7=25+4=28

Simplify the expression 5^3 + 3(5 − 3).​

Answers

Answer:

131

Step-by-step explanation:

Hope it helps ;)

How many cents make 11 dimes

Answers

Answer:

110 pennies or us cents since we are thinking about the overall amount :)

Step-by-step explanation:

Answer:

0.10

Step-by-step explanation:

find the length of the line segment. the points are:
A: (-5,-4)
B: (-3,3)

Answers

it would be B -3,3........

write the equation for this table​

Answers

Y= +9

0+9=9
2+9=11
4+9=13
6+9=15

The cost C (in dollars) of making n watches is represented by C = 15n + 85 .

How many watches are made when the cost is $385?

how many watches?
​

Answers

So the answer should be 48.58 if not then it could be 278n

Help with this please

Answers

Since the inequality has a “>” the plot must be hallow. So it leaves you with either C or D. Hope that helps narrow down your options.
I think the answer is D hopefully i’m right

Ruby and her children went into a bakery and she bought $18 worth of donuts and
cookies. Each donut costs $1 and each cookie costs $1.50. She bought a total of 15
donuts and cookies altogether. Graphically solve a system of equations in order to
determine the number of donuts, , and the number of cookies, y, that Ruby bought

Answers

4 cookies and 5 donuts

Answer:

1x + 1.5y = 18

x + y = 15

She bought 9 donuts and 6 cookies.

Help!please do this fast!!!

Answers

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

It is not because when you plug x=2 and y=4 into the second equation, it is not a true statement. In order for the ordered pair to apply to the system, there needs to be a true statement for BOTH equations not just the first one.

Observe:

2-2(4)=-6
-6=-6 this is a true statement

3(2)-2(4)=12
6-8=12
-2≠12 this is a false statement

Therefore the solution 2,4 doesn’t apply to the system since it only applies to one of the equations
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