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2 answers:
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The terms of this series may be arranged without changing the value of the series. The sum of the reciprocals of the squares of the odd positive integers is .
In mathematics, a sequence is the cumulative sum of a given collection of terms. Usually, those phrases are actual or complicated numbers, but plenty of extra generalities are feasible.
A series is described as an arrangement of numbers in a specific order. then again, a chain is described as the sum of the factors of a sequence.
In mathematics, a series is, more or less speaking, a description of the operation of including infinitely many quantities, one after the alternative, to a given beginning quantity. The look at of series is a primary part of calculus and its generalization, mathematical analysis.
k=1
1/(1)2+1/(2)2+1/(3)2+1/(4)2+1/(5)2+1/(6)2+1/(7)2+.
up to ∞ terms = 2/6
[1/(1)2+1/(3)2+1/(5)2+1/(7)2+]+[1/(2)²+1/(4)²+1/(6)²+
..∞0] = T²/6
→ [1/(1)² + 1/(3)² + 1/(5)2+1/(7)2+......00] + [1/4 (1)² + 1/4(2)²+
1/4(3)²+....0] =²/6
[1/(1)²+1/(3)²+1/(5)2+1/(7)2+.......)] + 1/4[1/(1)² + 1/(2)²+
1/(3)²+....x] = 2/6
⇒ [1/(1)² + 1/(3)² + 1/(5)²+1/(7)²+..] + 1/4 [π²/6] = 2/6
⇒ [1/(1)² + 1/(3)² + 1/(5)²+1/(7)²+] = (1-1/4)/6
⇒ [1/(1)²+1/(3)2+1/(5)2+1/(7)2+..∞ = 3/4 x π²/6
=
↑
[1/(1)2+1/(3)2+1/(5)2+1/(7)²+] = 2/8
Learn more about the series here brainly.com/question/24295771
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Answer:
The angles are: 25°, 25°, 155° and 155°.
Step-by-step explanation:
1. By definition, the intersection of two lines forms four angles. Each opposite pairs of them are known as "Vertical angles" and they are congruent, which means than they have the same measure.
2. The sum of the four angles is 360°.
3. If the sum of the two angles is 50°, you can calculate the measure of each one of them by dividing 50° by 2:
4. To find each measure of the other two angles, you must subtract 360° and 50° and divide this by 2: