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3 years ago

If [infinity]∑n=0cn9n is convergent, does it follow that the following series are convergent? (a) [infinity]∑n=0cn(−3)n

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

Given: The series ∑cₙ $9^n$ is convergent

To find: The series ∑cₙ $(-3)^n$ is convergent or not.

Solution: If the radius of convergence R the we can conclude that R≥4

So, the series will converge as -3<9.

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a class has 20 trays of paint each trays has 6 colors 1 of the color is red what fraction of the colors in the 20 trays is red

Molodets [167]

Answer: it is 1/6

You can solve by saying, 1 out of 6 in each tray is red, so my fraction should be 1/6.

It doesn't matter the amount of trays because the pattern is always the same.

But if you want to check it out you can do it in this way.

You know there is 1 red color per tray, if there are 20 then you'd have 20 of them, in each tray there are 6 colors so the total is 120.

Now you solve it if there are 20 red colors out of 120 them the answer is 20/120, thus you get 1/6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Li is making beaded necklaces. For each necklace, she uses 22 spacers, plus 9 beads per inch of necklace length. Write an equati

NeTakaya

Answer: y = 9x

Step-by-step explanation:

Li needs to use 9 beads for each inch of necklace.

X = Length of Necklace

Y = Number of beads needed

y = 9x

For instance, assuming a necklace is 8 inches long, how many beads will be needed;

= 9x

= 9 * 8

= 72 beads

7 0

3 years ago

please answer this question fast and please show all your work because I am locking for how can you do it please

inysia [295]

Option C is the correct values of the relationship between the number of cakes the baker makes and the number of bags of flour uses.

Solution:

Option A: Ratio of cakes baked to bags of flour used

$$\frac{9}{4}, \frac{18}{6}=\frac{3}{1} \text { and } \frac{27}{9}=\frac{3}{1}$

Here the ratios are not same.

So, this option is not true.

Option B: Ratio of cakes baked to bags of flour used

$$\frac{6}{2}=\frac{3}{1}, \frac{12}{4}=\frac{3}{1} \text { and } \frac{18}{6}=\frac{3}{1}$

Here the ratios are same.

So, this option is true.

Option C: Ratio of cakes baked to bags of flour used

$$\frac{4}{9}, \frac{6}{18}=\frac{1}{3} \text { and } \frac{9}{17}$

Here the ratios are not same.

So, this option is not true.

Option D: In this table cakes baked is 6 and the bags of flour is 18.

But a baker made 18 cakes using 6 bags of flour.

So, this option is not true.

Hence option C is the correct values of relationship between the number of cakes the baker makes and the number of bags of flour uses.

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3 years ago

Please i need help:/

guajiro [1.7K]

Answer:

the answer would be B or 358.38

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3 years ago

Two girls, Lexia and Petrina, and three boys, Roje, Ethan, and Kamari, play catch. When a girl throws the ball, she throws it to

Studentka2010 [4]

Answer:

Ethan

Step-by-step explanation:

7 0

3 years ago