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Series - The Basics
That topic is infinite series. So just define what is an infinite series? Well, let's start with a sequence {an}∞n=1 (note the n=1 is for convenience, it can be anything) and describe the following,
The sn are called partial sums and notice that they will form a sequence, {sn}∞n=1. Also recall that the ∑ is used to present this summation and termed as a variety of names. The most general names are:
a. Series notation,
b. Summation notation, and
c. Sigma notation.
8.5cm square = m square
An initial species population is y(0) = 3000. At t=0 the population starts to grow exponentially with a doubling time of 2 years. Mark the only correct statement: a) The per
Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r
If a country with a struggling economy is losing the battle of the marketplace, should the affected government adjust its trade barriers to tilt the economic advantage of its domes
What is the slowest a boat can travel across a river if the river is flowing with a velocity field of X^2?
1.A=the set of whole numbers less tan 4 ? 2.B=the set of prime numbers less than 19 ? 3.C=the set of first three days of week?
Consider the equation e x 3 + x 2 - x - 6 = 0, e > 0 (1) 1. Apply a naive regular perturbation of the form do derive a three-term approximation to the solutions
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
Q. How many permutations can you make of the word STATISTICS? Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n 1 =3, three are T'
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
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