Inductive Reasoning Quiz

Study Notes

Inductive reasoning involves making generalizations based on specific observations or patterns.
The next number in the sequence 3, 6, 9, 12, 15 is 18. This sequence follows a pattern of adding 3 to the previous number.
The next number in the sequence 1, 3, 6, 10, 15 is 21. This sequence follows a pattern where the difference between consecutive numbers increases by 1.

Deductive reasoning uses general principles to draw specific conclusions.
Starting with an original number 'n', multiplying by 8, adding 6, dividing by 2, and subtracting 3 results in the expression: ((8n + 6)/2) - 3.
If a pendulum has a length of 49 units, its period is approximately 14 seconds (calculated using the formula T = 2π√(L/g), where T is the period, L is the length, and g is the acceleration due to gravity).
Quadrupling the length of a pendulum will double its period.

The period of a pendulum is the time it takes for one complete swing.
The period of a pendulum is directly proportional to the square root of its length.
Quadrupling the length of a pendulum will double its period.

The procedure described in the text involves a series of arithmetic operations: multiplying by 8, adding 6, dividing by 2, and subtracting 3.
Applying this procedure to any original number will result in a specific output, which can be represented by the expression ((8n + 6)/2) - 3.