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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..
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. . . . . . . . . . . . Adding vertically, ..
To find the sum of n terms of a GP
Let a = First term, r = common ratio, n = number of terms. Multiply both sides of (i) by r, the common ratio. Subtracting (ii) from (i), we get ..
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...
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n t h term of (1,2,3,....) is n Subtracting (ii) from (i), we get ..
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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 ..
Factorial Questions
Question 1 - Question: Find n. Answer: ..
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 10
Question: Find n if P(n,4) = 20P(n,2) Answer: ..
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