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telo118 [61]
3 years ago
15

Pete is using a recipe shown below to make fruit salad.He wants to use 32 diced strawberries in his fruit salad. How many banana

s apples and pears should Pete use in his fruit salad?
Fruit salad recipe
5 bananas diced
6 apples diced
2 pears diced
8 strawberries diced
Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
8 strawberries : 32 strawberries
1:4 
This is the Ratio so
5 bananas : 20 bananas
6 apples : 24 apples
2 pears : 8 pears 
He should use 20 bananas , 24 apples and 2 pears.
:)
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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>

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Step-by-step explanation:

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3.

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A=\frac{\pi r^2}{2} \\=\frac{\pi 3^2}{2} \\\\=14.137m^2

Square

A=a^2=6^2=36

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