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When three quantities are in A.P., then the middle one is said to be the arithmetic mean of the other two. That is, if a, b and c are in A.P., then b is the arithmetic mean of a and c. Since a, b and c are in A.P., the common difference ought to be constant, we have
b - a
or b + b
or 2b
or b
We should remember that between any two quantities we can insert any number of terms so that the resultant series is in A.P. Now we look at some examples wherein we will insert the required number of terms.
Example
Insert 15 arithmetic means between 4 and 68.
We are given the first term and the last term. The total number of terms including 4 and 68 are therefore 17. Since "a" is given we ought to find "d". The 17th term is given by T17 = a + 16d = 4 + 16d. Also the T17 term is given to be 68. Therefore,
d
Using the values of "a" and "d" we insert the required terms. The series will be 4, 8, 12, ..., 68.
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
Explain the rules of Divisibility ? Divisible by 2: If the last digit is a 0, 2, 4, 6, or 8, the number is evenly divisible by 2. Divisible by 2 Not
Mr. And Mrs. samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives, ate 1/12 of them in the hotel, and gave 1/3 of them to friends. The shipped the
I need to make an assignment on this topic what should i write in it
Compute the dot product for each of the subsequent equation (a) v → = 5i → - 8j → , w → = i → + 2j → (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →
l+bx2= 5000+100x2
When I complete each of the three methods, should I get the same x and y values?
consumer behaviour in my feild of studies accounting ..
Left-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely m
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