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To find the harmonic mean between two given quantities
Let H be the harmonic mean between the quantities a and b. ..
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...
Suggested answer:
n t h term of (1,2,3,....) is n Subtracting (ii) from (i), we get ..
Suggested answer:
i) 1.2 + 2.4 + 3.8 +.... to n terms The n t h term of (1,2,3,....n) is n. The n t h term of (2,4,8,...) is The n t h term of the given series is n2 n Subtracting (ii) from (i), we have ..
Arithmetic Geometric
Arithmetic Geometric Series - A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subtracting (ii) from (i), we g..
Question 4
Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..
Question 3
Question: Answer: = 5 + 10 + 10 + 5 + 1 = 31 = RH..
Area of a Triangle
We have already learnt in the previous class that the area of triangle whose vertices are (x 1 , y 1 ), (x 2 , y 2 ), (x 3 , y 3 ) is given by Hence area of a triangle having vertices at (x 1 , y 1 ), (x 2 , y 2 ) and (x 3 , y 3 ) is given by..
Equality of Matrices
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...
Verification by numerical problems
\ A + B = B + A \ A + B = B ..
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