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kakasveta [241]
3 years ago
7

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 ∑cₙ9^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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Whats 5 + 5, please I need to know
vlabodo [156]

Answer:

10

Step-by-step explanation:

Use your fingers

3 0
3 years ago
Read 2 more answers
3/4 to the 3rd power
spin [16.1K]

The number 3/4 to the power 3 is equal to 27/64.

Given that the number is 3/4 and we are required to find the value of that number to the power 3.

In mathematics, a power series is basically an infinite series of the form where aₙ represents the coefficient of the nth term and c is a constant.

Number=(3/4)^{3}

To find the value of 3/4 to the power 3, we have to multiply 3/4 by 3/4 two times.

(3/4)^{2}=3/4 *3/4 *3/4

=27/64

Hence the number 3/4 to the power 3 is equal to 27/64.

Learn more about number at brainly.com/question/1746829

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8 0
2 years ago
Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .
-Dominant- [34]
Length = √(y2-y1)² + (x2-x1)²
l = √(5 - 5)² + (9 + 2)²
l = √0² + 11²
l = √121
l = 11

In short, Your Answer would be 11 units

Hope this helps!
3 0
4 years ago
Read 2 more answers
A particular metal alloy a has 20% iron and another alloy b contains 60% iron. how many kilograms of each alloy should be combin
Veronika [31]
Let t and s represent the masses of 20% and 60% alloys respectively.

t+s=80, s=80-t

(0.2t+0.6s)/80=0.52  multiply both sides by 80

0.2t+0.6s=41.6, now using s=80-t in this equation gives us:

0.2t+0.6(80-t)=41.6  perform indicated multiplication on left side

0.2t+48-0.6t=41.6  combine like terms on left side

-0.4t+48=41.6  subtract 48 from both sides

-0.4t=-6.4  divide both sides by -0.4

t=16, since s=80-t

s=64

So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
5 0
4 years ago
20 muffins were bought for £10.60 and sold for £12.40 what was the profit on each muffin
Tasya [4]

Answer: 1.80

Step-by-step explanation:

Profit on each muffin = selling cost-buying cost

=12.40-10.60

=1.80

5 0
3 years ago
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