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Formulas
Now there are a couple of nice formulas which we will get useful in a couple of sections. Consider that these formulas are only true if starting at i = 1. You can, obviously, derive other formulas from these for different starting points if you require to.
Here is a quick illustration on how to use such properties to quickly calculate a sum that would not be easy to do through hand.
These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
Comparison Test Assume that we have two types of series ∑a n and ∑b n with a n , b n ≥ 0 for all n and a n ≤ b n for all n. Then, A. If ∑b n is convergent then t
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The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is
Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.
a pizza driver delivered 27 pizzas in one night he delivered more then one pizza to only one house . every other house he only delivered pizza to 18 houses . how many pizzas did he
We have to enclose a field along with a fence. We contain 500 feet of fencing material & a building is on one side of the field & thus won't require any fencing. Find out the dime
Find the normalized differential equation which has {x, xex} as its fundamental set
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
A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg
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