Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...
a(1)=
a(n)=
Answer:
The value is:
a(1)=10 and a(n)=(-8)×a(n-1)
Step-by-step explanation:
We are given a sequence as:
10, -80 , 640 , -5120 ,.........
since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.
Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.
a(1)=10
Also a(n)=(-8)×a(n-1)
since a(1)=10
a(2)=(-8)×10=-80
a(3)=(-8)×(-80)=640
a(4)=(-8)×640=-5120
and so on.
Hence the answer is:
a(1)=10 and a(n)=(-8)×a(n-1)
Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²
288 would be your Answer hope this helps
The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π
Blank 1: Diameter or radius
Blank 2: Divided or multiplied
Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP
Help needed please and thank you!
This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week.
Select from the drop-down menus to complete each statement.
A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?
I really need the answer I’ve been stuck on this all day
Can someone please help me with 2,3,4
rewrite using parentheses to make each statement true
a: 42 + 12 ÷ 6 = 9
b: 33 - 14 1/2 + 3 1/2 = 15
c: 32 ÷ 8 x 2 = 2
all i need to know is where parentheses go.
if 5 bags cost $255.35 how much would 2 bags cost
Answer:
yes 102.14
Step-by-step explanation:
what is the order from least to greatest for 5.934, 59/10, 5 8/9, 5.94
The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81
Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?
Answer:
3
Step-by-step explanation:
which numbers have exactly 2 factors
Solve for d.
13d + 4 = 43
A.3
B.13
C.39
D.None of the above
Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.
Answer:
NO. They do not have to be equal
Step-by-step explanation:
A whole number takes place when two conditions are satisfied:
1. The numerator or the dividend is greater than the divisor.
For example, when you divide 0.1 by 0.002.
The dividend 0.1 is greater than 0.002
2. The divisor is small than the dividend.
This rule is the same as one above.
for example:
the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]
Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.
Suppose your heart is beating 72 times per minute. At this rate, how many times will it beat in 15 minutes?
what is this plzz need help for math homework it is very hard
For the total length of the five rods in terms of a is L = 15a.
The formula for the Total Length of Five Rods
Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:
First rod: a
Second rod: 2a
Third rod: 3a
Fourth rod: 4a
Fifth rod: 5a
Now, to find the total length (L), add up the lengths of all the rods:
L = a + 2a + 3a + 4a + 5a
Combine like terms:
L = (1 + 2 + 3 + 4 + 5) · a
The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:
L = 5 · 6/2 · a
Simplify the expression:
L = 15a
So, the formula for the total length L in terms of a is L = 15a.
The complete question is:
Here are five straight rods.
All measurements are in centimeters.
The total length of the five rods is L" " cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.
Explain how to write a word problem to match the inequality d < 120. Demonstrate with an example.
Answer:
So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
Step-by-step explanation:
r+3.2=6.1
What is the value of r? Show work
A flagpole is 4meters tall how many centimeters tall is the flagpole
whoever answers first gets a brainliest . thanks
Which expression is equivalent to 12(2+3x−6) ?
3x−4
32x−5
3x−5
32x−2
Answer:
A. 3X-4
Step-by-step explanation:
The measures of the angles of triangle ABC are angle a 48 degrees angle B 6x - 28 angle C 2x what is the value of x
jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?
there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?
How many triangles exist with the given side lengths?
12 in, 15 in, 18 in
A.
No triangle exists with the given side lengths.
B.
More than one unique triangle exists with the given side lengths.
C.
Exactly one unique triangle exists with the given side lengths.
Find the slope.
1.) (-4, -18), (-2, -10)
2.) (-19, 3), (7, 16)