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3 years ago

To my knowledge, the answer should be there is no difference since I found the sum, however the answer is something else,

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

5 0

In the first series, the summation applies to the whole (2n+3) inside
the parentheses, so the 3 gets summed up 5 times.

But in the second one, the summation only applies to the 2n , so
the 3 is only added after the summation is finished.

The difference between five 3s the first time and one 3 the second time
is your 12 .

lina2011 [118]3 years ago

5 0

The difference between them is 12 because :
the sum of first series is : 2 * ( 1 + 2 + 3 + 4 + 5 ) + 15;
the sum of the second series is : 2 * ( 1 + 2 + 3 + 4 + 5 ) + 3.

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Consider the limaçon with equation r = 3 4cos(θ). how does the quotient of a and b relate to the existence of an inner loop?

Delicious77 [7]

If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.

Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.

Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.

formula of polar graph is similar to r= a+ b cos (θ).

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Learn more about limacon at brainly.com/question/14322218

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