In the previous two articles we looked at the types of numbers the number sequences are often used as the basis of “What comes next?” questions IQ test. In this key findings article we will look at two more types of number sequences that are used in ‘What comes next? “Questions. Geometric progressions and special or” one-off “number sequences are the least numbers progressions, but it is a different reason for this in each case. Geometric progressions are mathematically complex than numbers progressions, making only the simplest geometric number sequences suitable for use the IQ test questions. The goal IQ tests measure intelligence, based on the combination of speed and accuracy of the answers of the other party, meaning questions that require long calculation is not suitable for inclusion. However, individual rows speak rarely used in IQ tests for they tend to favor those with more extensive education and pattern recognition skills, rather than those with innate intelligence.

Geometric Number Sequences

A geometric progression is a sequence of numbers each number in the series, but the first is found by multiplying the previous one by a certain number, which is known as a common rate. The corporate rate can be either positive or negative number.

Positive Common ratios

For example, the order of 2, 8, 32, 128 … is a geometric progression with a common ratio of 4, 40, 10, 2.5, … is a geometric series with common ratio of 0.25.

To check whether the sequence of numbers is geometric, one simply checks whether the subsequent entries in the series all have the same ratio.

If the common ratio is greater than 1, the series will grow inexorably to infinity. However, the common rate between zero and 1 will produce a series of decays toward zero. A common ratio 1 produces dullest geometric series, stable series where each number in the sequence is the same example, 5, 5, 5, 5, 5, 5 …

Negative Common ratios

Negative common ratios produce alternating series, where the legs numbers change from positive to negative and back again.

For example, the sequence 1, 2, 4, -8, 16, -32 … is a geometric progression with normal rated -2.

If compared to the common rate is between zero and -1 it will produce alternating order decays toward zero. A common ratio of less than -1 leads alternating series showing exponential growth towards infinity. A common ratio of -1 produces alternating continuous series such as -5, 5, -5, 5, …

final chance to be aware of the common rate of 0, which produces a range comprising the first number and infinite series zero eg 5, 0, 0, 0, 0, 0, …

Special Number Series

Special or “one-off” series of statistical series that have mathematical basis, but recognizable by the model rather than the underlying mathematics. The best-known series, which might seem a question of IQ test, prime numbers. A key is a number that has exactly two integer share, and the number itself and 1. Series starts primes 2, 3, 5, 7, 11, 13, 17, 19, 23, …

Another, sophisticated, special series is a series of different numbers. A perfect number is a positive integer that is the sum of its proper positive Divisors. The first perfect number is 6 (the sum of its proper positive share ,, 1 + 2 + 3 = 6) and second 28 (1 + 2 + 4 + 7 + 14). In the next two numbers in the series are 496 and 8128, you will appreciate that we are entering a state of higher mathematics.

Returning to normal plane, we will do by looking at the ‘What comes next? “The question left unanswered in the second article

OTTFFS _ _

The problem is this question raises is that, because it seems on the surface to be in alphabetical order, many seek for an alphabetic solution. Side thinkers who consider the possibility that it is a statistical series are quickly rewarded with a correct answer. The series is the first letters of the written number sequences

One

Two

Three

Four

Five

Six

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

The question may seem either delightfully simple, or simply not fair, depending on whether you got the answer right or wrong. It does, however, show why train you, or your children, to perform better in the ‘what comes next’ questions should be regarded as a fun activity, rather than a sure-fire way to improve your IQ test scores.