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Softa [21]
3 years ago
12

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

t exists, and if possible find the sixth term.
2a, 2a^(2)b, 2a^(3)b^(2), 2a^(4)b^(3). . .
Mathematics
2 answers:
bonufazy [111]3 years ago
5 0
This is a geometric sequence as each term is a constant ratio of the previous term, called the common ratio...

2a^2b/2a=(2a^3b^2)/(2a^2b)=ab and the first term is 2a

So the rule is:

a(n)=2a(ab)^(n-1)

a(6)=2a(ab)^5=2a^6(b^5)

We cannot know for sure if this series is infinite or not.  It would depend on what the values of a and b were.

If EITHER a^2 or b^2 is less than one the series would be finite (and technically a sequence and not a series),and a sum could be found.  If a^2 AND b^2 are greater than one it is an infinite series whos sum diverges....
Advocard [28]3 years ago
3 0
The sequence is infinite  because  the exponents   2 ,3 ,4 ,... go on infinitely.

That next number in the equence is obtained by multiplying each term by ab.

the sixth term is   2a^(6)b^(5)
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How do I use the distributive law to factor 2a + 2b?
Zinaida [17]
So,

You have to undistribute a common factor in all of the terms.

2a + 2b

There is a 2 in each term.

Undistribute.
2(a + b)
7 0
3 years ago
What is 800-5x divided by 6.5
MA_775_DIABLO [31]

Answer:10 over 13 x

Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2

to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13

factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)

for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x

solution: 800-10 over 13x so your answer would still be

8 0
3 years ago
At a hot dog stand they serve regular hot dogs and footling hot dogs at a ratio of 5 to 3. Based on this ratio how many footlong
natta225 [31]
Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs
3 0
3 years ago
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
stich3 [128]
The answer would be B. Look at the graph - on top, to the left goes toward -infinity, while to the right it does the opposite. On the bottom, or the y, to the left and right it increases indefinitely. Plug this together, and you have your answer.
I hope this helped, and have a nice day!

4 0
3 years ago
Read 2 more answers
Anyone it is almost due help
tatuchka [14]

Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.

Step-by-step explanation:

7 0
2 years ago
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