Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
what is 1/16 (fraction) divided by 24?
what’s the area of the figure for brainlist ?!
Answer:
4x^4
Step-by-step explanation:
The polygon has 4 right angles, and two consecutive sides are congruent, so it's a square.
For a square:
area = (side)^2
area = (2x^2)^2 = 2x^2 * 2x^2 =
area = 4x^4
ASAP I NEED THIS NOW
Answer:c
Step-by-step explanation:
Liz is shipping a package to her friend. The maximum weight of a medium flat rate box is 20 pounds , including the box which weighs 6 ounces Write and solve an inequality to describe the possible weight in pounds , wof the contents that will ship to her friend she must medium flatrate box Use the drop-down menus to explain your answer
Answer:
19.625 pounds. i think
Step-by-step explanation:
Anna solved the equation 7x-1=x-1+6x and got 0=0. Was she correct? Explain how you know. If she is correct, what does her result tell about the solution(s) to the equation?
Answer:
Any value of x makes the equation true.
All real numbers Interval Notation: (−∞,∞)
Step-by-step explanation:
Which number is a solution of the inequality 13.4 < b
A. 17
B. 8
C. 10
D. 1
Answer:
the answer is A: 17, others are all < 13.4
Step-by-step explanation:
only: 17 > 13.4, others are all < 13.4
The LCM of 4 and 6 is . (5 points)
Answer:
10
Step-by-step explanation:
P +78<90 solve fast pls
Answer:
p is greater ta\han or equal to 13
Step-by-step explanation:
p + 78 is greater than 90
p has to be greater than the number plus 78 that equals 90
that would be 12
p is greater than or equal to 13
What is the distance from L to M?
A. 10 units
B. 14 units
C. 100 units
D. 2 units
HELPP PLS Myra is planning to purchase a recliner that costs $1,490. The installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each. What will be the finance charge for the installment plan? O A $298.00
I think it's D not sure tho
Answer: The answer is C. $108.80.
Step-by-step explanation: Plato help.
To find the unit rate of $4.80 for 6 cans you need to divide the cans by the cost. Example: $4.80 ÷ 6. Once you do that you should get $0.8 for one can.
Answer:
i need help tooooooooooooo
A store owner determined 80% of customers bought a drink and 30% of customers bought a snack. If the store sold 120 snacks that day how many more drinks were sold
When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?
Answer:
The original function is an exponential growth function, and so is a new function, but it will be translated in to 2 units.
Step-by-step explanation:
The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.
Five friends, including Marlon, purchased two boxes of pizzas. They equally shared the pizza among themselves. How much pizza did Marlon get?
2 boxes of pizza's pizza is usually cut in eights so there would be 16 slices of pizza divided by 5 it would be around 3 or 3.2
Step-by-step explanation:
Stacy spent £15 on ingredients for bread. She made 12 loaves and sold them for £1.80 each. Calculate her percentage profit.
Answer:
Step-by-step explanation:
which gives us a percent increase of 66.7%
which gives us a percent increase of 20%
can you help me with this problem?
Tourist covered today 15 miles. This was 1/4 of his planned trip. How big was his trip?
Answer:
60
Step-by-step explanation:
1/4 = 25%
15 ÷ 25% = 60
Layla has $2 worth of dimes and quarters. She has 6 more dimes than quarters. By
following the steps below, determine the number of dimes, I, and the number of
quarters, y, that Layla has.
Answer:
Layla has 4 quarters and 10 dimes
Step-by-step explanation:
A quarter each is 25 cents. And a dime each is 10 cents. counts from 10 10 times and then add 25 4 times and you get 200 which is 2 dollars. Example: 10 20 30 40 50 60 70 80 90 100 with 10 dimes alone that's a dollar 4 quarters equal another dollar so both of those equal 2 dollars. Layla had 4 dimes and 4 quarters when she added 6 more dimes it all equaled 2 dollars. Hopefully this makes sense.
proving answer:
10 - 4 = 6
Theres 6 more dimes than quarters
after serious negotiating you got $25 discount a pair of sneakers if the original price of the sneakers was $125 what percentage discount did you get
Which expression has the greatest value?
3÷16
5÷16
5÷12
3÷12
Answer:
The correct answer is 5÷12
Plz help me on question 19 and 20 !
Answer:
19) -2 and 7 20) -1, 1/4, 3/4, 2
Step-by-step explanation:
Use desmos graphing calculator for the sketch, and just copy the graph it give you.
what is the formula for slope
Answer:
y=mx+b
Step-by-step explanation:
Simone, buys one charger for $ 1.59 and phone popsockets $0.29 for each. She spends a total of $5.07. If there is no sales tax added to Simone totals. Which equation represents the situation?
Answer:
it is B i took the quiz
Step-by-step explanation:
hope it helps
In this truss bridge, A MNR ~ APQR. QR = 3 feet, PQ = 4 feet and NR = 6 feet.
What is MN, the height of this bridge?
Answer:
8
Step-by-step explanation:
because i said
Answer:
8
Step-by-step explanation:
on edu 2021
You are at a restaurant and the check comes to a total of $19. If you want to leave a 19% tip, how much total money should you pay, to the nearest cent?
Answer:
the amount of tip is going to be $3.61.
Step-by-step explanation:
0.19 x $19.00
=$3.61.
What is 54×18 written in standard form
Answer:
972
Step-by-step explanation:
Use long multiplication to evaluate.
Answer:
972
Step-by-step explanation:
Question down below.
Answer:
B and D
Step-by-step explanation:
5x + 2y = -3
3x + 3y = 9
Answer:
Step-by-step explanation:
5x + 2y = -3
3x + 3y = 9
15x + 6y = -9
-15x - 15y = -45
-9y = -54
y = 6
5x + 2(6) = -3
5x + 12 = -3
5x = -15
x = -3
(-3, 6)
3a-6b/3ab
Steps please. Not sure if I originally did this question correctly.
Answer:
a-2b/ab
Step-by-step explanation:
3a-6b/3ab
Factorize
3(3a-6b/3ab)
= a-2b/ab
Expand and simplify the expressions using properties of operations.
6(7y−8)
Answer:
42y-48
Step-by-step explanation:
6 x 7
6 x 8