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syllbus of IMO - indian mathematics
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Arithmetical Progression - indian mathematics
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Today i am solve some problem related to A.P. 1 find the 11th of a A.P. which first term is 3 and common difference is 5. Ans: Give that first term a=3 and common difference is 5. So nth term = a (n-1)d ;. Putting the value of a, d and n in above equation , we get;. A=3; d=5 and n=11. 11th term = 3 (11-1)5. Q 2 A arithmetical progression is as follows 10, 6,2,. Find the 10th term and the addition of first ten terms. Ans: Here given series is 10,6,2,. So the 10th term = 10 (10-1)(-4). 5[10 - 26];.
Mathematics Olympiad proplem 1995 - indian mathematics
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Mathematics Olympiad proplem 1995. Here are the IMO 1995 problems as posted by Abhilash thakur. 1 Let A, B, C and D be four distinct points on a line, in that order. The. Circles with diameters AC and BD intersect at the points X and Y. The. Line XY meets BC at the point Z. Let P be a point on the line XY different. From Z. The line CP intersects the circle with diameter AC at the points. C and M, and the line BP intersects the circle with diameter BD at the. A 3)(b c) (b 3)(c a) (c 3)(a b) 2. Ii) the su...
Arithmatical progression - indian mathematics
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Quantity are said to be in arithmetical progression when they increase or decrease by a common difference . OR. The difference between two consecutive terms of a series is content is called the A.P. For example 3,7,11,15,. 8,2,-4,-10,. The common difference is found by subtracting any term of the series that which follows it . If you examine the series , a,a r,a 2r,a 3r,. We notice that any term that coefficient of d is always less by one then that number of terms in the series. So s = n/2[2a (n-1)d] (ii).
Arithmetic Mean - indian mathematics
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To insert a given number of arithmetic mean between two give quantities:-. Let a and b be the two given quantities , n the number of means. Including the extremes the number of terms will be (n 2) ; so that we have find a series of(n 2) terms in A.P. of which a is the first term and b is the last or (n 2) term. Let d be the common difference. B= the (n 2)th term = a (n 1)d. B-a = (n 1)d;. B-a)/(n 1) = d;. So the required means are a (b-a)/(n 1) , a 2(b-a)/(n 1). So , b= a (n 1)d;. 25= 5 (5 1)d;.
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indianvedicmathematics.blogspot.com
indian mathematics
To insert a given number of arithmetic mean between two give quantities:-. Let a and b be the two given quantities , n the number of means. Including the extremes the number of terms will be (n 2) ; so that we have find a series of(n 2) terms in A.P. of which a is the first term and b is the last or (n 2) term. Let d be the common difference. B= the (n 2)th term = a (n 1)d. B-a = (n 1)d;. B-a)/(n 1) = d;. So the required means are a (b-a)/(n 1) , a 2(b-a)/(n 1). So , b= a (n 1)d;. 25= 5 (5 1)d;. 2 Let a,...
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