Math education

In two previous articles, we have the types of arithmetic sequences, which are often studied as a basis for the “What’s next? Questions in IQ tests. At the end of this article will examine, we, two other types of sequences in” What’s next used? Questions. geometric progressions and special or “serial number one-off” are less frequently encountered as arithmetic progressions, although there is another reason for this effect in any case. geometric progressions are mathematically more complex than arithmetic progressions, so that the simple geometric series number can be used in questions IQ test. The goal of an IQ test is the intelligence measure, based on a combination of speed and accuracy of the responses of the respondents, the questions that require lengthy calculations, funds are not suitable for recording. However, the sequences of the unique numbers are rarely used on IQ tests because they are to those that a broader education and skills of pattern recognition, rather than those who have the innate intelligence, tend to favor.

Number of geometric sequences

A geometric progression is a series of numbers where each number in the sequence, with the exception of the first, by multiplying the previous by a fixed number, which is known as a common report, is found. The joint report may be either a positive or negative number.

Positive indicators common

For example, the sequence of 2, 8, 32, 128 … is a geometric progression with a ratio of four municipalities, while 40, 10, 2.5, … is a geometric progression with a ratio of usually 0.25.

To check whether a sequence of geometric figures, checks whether one simply successive entries in the sequence all have the same relationship.

If the combined report is larger than 1, the series will inexorably towards infinity. However, a joint report between zero and one, a series which decays to zero. A joint report of a boring product of geometric sequences, a constant series where each number in the sequence is the same example 5 5 5 5 5 5 …

Common negative ratios

Negative relationships produce a frequent combination in which the successive numbers go from positive to negative and vice versa.

For example, the sequence 1, -2, 4, -8, 16 -32 … geometric progression is a common cause of -2.

If the joint report between zero and -1, it generates an alternating series, which decays to zero. A joint report of less than -1 results in an interplay that exponential growth shows up to infinity. A joint report of -1 produces a constant alternating series, for example, -5, 5, -5, 5, …

The last possibility is a joint report on 0, which contains a number of the original number by an infinite number of zeros, produces eg 5, 0, 0, 0, 0, 0, …

Serial special

Special series or “point” are digital sequences that have a mathematical basis, but are recognizable by their structure than the underlying mathematics. The most popular series, which could appear as a question on an IQ test is, prime numbers. A prime number is a number that is exactly two integer divisors, the number itself and 1 The sequence of primes begins 2, 3, 5, 7, 11, 13, 17, 19, 23, …

Another, more complex, special series is the perfect sequence of numbers. A perfect number is a positive integer, the sum of its proper divisors is positive. The first perfect number is 6 (the sum of its positive divisors good 1 2 3 = 6) and the second 28 (1 2 4 7 14). In the next two numbers in the order of 496 and 8128, you will understand that we in the field of higher mathematics.

The return to a more normal level, we will conclude by looking at the “What’s next? Question left unanswered in the second article:

T O T O F F _ _

The problem is that this question because it appears superficially like an alphabetical order, many people are looking for a solution listing. Lateral thinker, which is the possibility that there are a series of numbers quickly rewarded with the correct answer to be tested. The result is the first letter of the serial number written:

A
Two
Three
Four
Five
Six

make the missing letters S and E for seven and eight.

The question seems simple and delicious, or simply not fair, because you have the right answer or wrong. However, it is clear why an education for you or your child do better in “What’s next” questions should be considered a fun activity, but as a sure-fire method to improve the results of IQ tests.