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Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
Summary
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2: If |A| = 0, inve..
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2: If |A| = 0, inve..Series
Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series...
Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series...General Series
1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding sum of a series whose nth term is know..
Find the next figure in the series.
Find the next figure in the series. => Figure 1 or Figure 2 or Figure 3 or Figure 4..
Find the next term in the series.
Find the next term in the series. => Figure 1 or Figure 2 or Figure 3 or Figure 4..
Summary Exponential and Logarithmic Series
2 < e < 3 The value of e rounded off to four decimal places is 2.7183. For complex numbers x,y, we have e x + y = e x y y . For any rational number x, the sum, e x , of the series ..
2 < e < 3 The value of e rounded off to four decimal places is 2.7183. For complex numbers x,y, we have e x + y = e x y y . For any rational number x, the sum, e x , of the series ..Introduction Exponential and Logarithmic Series
Introduction Exponential and Logarithmic Series - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P.,..
Introduction Exponential and Logarithmic Series - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P.,..Find the next four terms of the series 0, 0, 1, 1, 2, 2, 3, ___, ___, ..
Find the next four terms of the series 0, 0, 1, 1, 2, 2, 3, ___, ___, ___, ___, ... => 6, 5, 4, 3 or 5, 5, 5, 6 or 3, 4, 4, 5 or 1, 2, 3, 4..
Find the first four terms of the series with the rule given as 'Start ..
Find the first four terms of the series with the rule given as 'Start with 16807 and divide by 7 repeatedly'. => 16807, 2401, 343, 49 or 16807, 49, 343, 7 or 16807, 343, 49, 7 or 16807, 14,28, 35..
Result
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