Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
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
Can Ifede defeat 7 trolls and 15 goblins without running out of spells?
Answer:
yes
Step-by-step explanation:
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:
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
I usually walk at a speed of 0.75 miles per 30 minutes. How long will it take me to walk from my house to the supermarket 1.5 miles down the road?
Answer:
It will take you 1 hour to walk 1.5 miles.
Step-by-step explanation:
34x−5=4 x =
im confused
Answer:
9/34
Step-by-step explanation:
Let us move all the numerical values to one side:
34x= 4+5
34x = 9
x=9/34
I hope this helps! :)
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
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
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:
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
ASAP I NEED THIS NOW
Answer:c
Step-by-step explanation:
What is the distance from L to M?
A. 10 units
B. 14 units
C. 100 units
D. 2 units
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
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:
Question down below.
Answer:
B and D
Step-by-step explanation:
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.
which expression is equivalent to x + x + x + 5 + 5 no mater what value substituted in for x
Answer:
3x+10
Step-by-step explanation:
Answer:
3x+10
Step-by-step explanation:
So you're going to want to count the amount of X's their are (3) and put them together (3x). Then to simplify the expression, add the 5+5 together, since they are they same type of variables. Now, you put everything together (3x+10).
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.
Which expression has the greatest value?
3÷16
5÷16
5÷12
3÷12
Answer:
The correct answer is 5÷12
what is 44.64 ÷ 3.6
Answer:
12.4
Step-by-step explanation:
Hope this helps :)
Factor 3(8x-4)
Sbshbshsbsh
Answer:
i think its 24x-12? sorry if it is wrong
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:
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%
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
Which shows the graph of the line with equation y = -2x + 1?
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
what is 1/16 (fraction) divided by 24?
A researcher compared the heights and shoe sizes 50 men selected at random. The equation shown describes a line of best fit for the data,
where x is the shoe size and y is the height, in inches.
y = 1.6x +48
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
Answer: 7 1/2
Step-by-step explanation: Convert 7 1/2 to a decimal then multiply it by 1.6 to get 12.00 then add 48 to get 60.
P.S i got it right
what are three thing we learn in geometry?
Answer:
-Congruent triangles and their relationships.
-Similar triangles and their relationships
-SSS, ASA, SAS criterion of similarity
Step-by-step explanation: