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ARITHMETIC PROGRESSIONS: One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories
Examples:
The fourth term of an AP is 0. Prove that its 25th term is triple its 11th term.
Ans: a4= 0
⇒ a + 3d = 0
T.P a25= 3 (a11)
⇒ a + 24d = 3 (a + 10d)
⇒ a + 24d = 3a + 30d
RHS sub a = - 3d
- 3d + 24d = 21d
LHS 3a + 30d
- 9d + 30d = 21d
LHS = RHS Hence proved
How do I solve logx/log2x=2
Find out the volume of the solid obtained by rotating the region bounded by x = (y - 2) 2 and y = x around the line y = -1. Solution : We have to first get the intersection
Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A
Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?
how to do a bar graph
A racquetball court is 40 ft through 20 ft. What is the area of the court in square feet? The area of a rectangle is length times width. Thus, the area of the racquetball court
1 2/3 divided by 2/3
in a sale a clothes shop reduces its prices by 30% a shirt usually costs £38 how much is it in the sale
sum of sine series
It is difficult to produce the individual answers and the insights that they were providing. But, let's look at some broad patterns that we found, which are similar to those that o
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