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Korolek [52]
3 years ago
14

Complete the next three terms in the pattern below

Mathematics
1 answer:
yan [13]3 years ago
6 0
Look for an addition/subtraction or multiplication/division patterns between numbers in the sequence.

1, 4, 9, 16, ...
if you look at what you add to get to the next number.

+3, +5, +7, ...
the pattern is adding consecutive odd numbers

16+9 = 25
25+11 = 36
36+13 = 49

1, 4, 9, 16, 25, 36, 49, ...
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If you had 60 pounds of candy it would be$36.66
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3 years ago
Plzz answer these!!!!!!!!! will give brainliest!!!!!!!!
olga55 [171]
1.

No.

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You have 8 cups of flour. A recipe calls for 2/3cup of flour. Another recipe calls for 1/4 cup of flour. How much flour do you h
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There will be 5 more because 8-2-1 =5
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3 years ago
Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
What is the solution to the inequality?<br> −6x+5&gt;−1
Bogdan [553]

Answer:

\boxed{x

Step-by-step explanation:

-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x

3 0
3 years ago
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