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Describe about Arithmetic and Geometric Series?
When the terms of a sequence are added together instead of separated by commas, the sequence becomes a series. You will use series in higher mathematics. Example 1: 3 + 6 + 9 + 12 + ...The pattern is add three to the previous term. When the pattern is to always add or subtract the same number, you have an arithmetic series. Example 2:1 + 2 + 4 + 8 + ...The pattern is multiply two to the previous term. A series that has a pattern of multiplying or dividing by the same number is called a geometric series.
For inequalities we contain a similar notation. Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus
An inground pool is pooring with water. The shallow end is 3 ft deep and gradually slopes to the deepest end, which is 10 ft deep. The width of the pool is 30 ft and the length is
By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
assignment of mathematics in b.sc. 1sem
find the magnitude of the following vectors:5i+7j
What is Matrix addition and subtraction? Illustrate the procedure of Matrix addition and subtraction.
condition for linearly independent
For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the
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Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.
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