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marta [7]
3 years ago
9

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. 3a, 3a2b, 3a3b2, 3a4b3. . .
Mathematics
1 answer:
levacccp [35]3 years ago
8 0
The sequence is given as follow
3a,3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

\frac{3 a^{2}b }{3a} =ab
\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab
\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab

The term to term rule is multiplied by ab

The 5^{th} term is given 3 a ^{4} b^{3}×ab=3 a^{5} b^{4}

The 6^{th} term is given by 3 a^{5} b^{4}×ab=3 a^{6}  b^{5}


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In a fitness program, Pedro does 20 sit-ups on the first day, and increases this by 2 sit-ups everyday. Determine the day when t
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Answer:

day 540

Step-by-step explanation:

He increases his number of situps by 2 each day meaning on day 1 he'd do 2 extra, on day 2 he'd do 4 extra, on day he'd do 6 extra etc. We can show this by saying +2x where x is the day he is on.  Then since he started with 20 we have to add 20 so it would be 20+2x.  We want to know what day it is when he does 1100 situps so we can set our equation equal to 1100 and solve for X which is the day it would be.

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3 years ago
Last question! Please show work. Really need to get this done in 1 hour
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Answer:

x=1; y=2; z=3

Step-by-step explanation:

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2 years ago
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Answer:

A= 9 , B= 4 , C= 18

Step-by-step explanation:

if u need a in depth explanation text me in the comments :)

6 0
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