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Scientific Notation
Notation of large number in terms of exponential form, 10 raised to required value. It is also a standart notation representation as " p x 10 q ". where 'p' and 'q' are any integers..
Difference of two sets (Relative complement)
The relative complement of set B in set A is the complement of B in ..
Set of question and answer on Number Theory
Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..
Arithmetic Progression (or simply A.P.)
Arithmetic Progression (or simply A.P.) - Quantities are said to be in Arithmetic progression when they increase or decrease by a common difference..
Arithmetic Progression
Quantities are said to be in Arithmetic progression when they increase or decrease by a common difference..
Consecutive integers
They are integers that differ from each other by one, e.g., 8, 9, 10 are consecutive integers, also 180, 179, 178, 177 are consecutive intege..
Significant Figures
We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. The difference between these two values is called the absolute error. Absolute Error = Original number - Approximated..
Sigma Notation
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3..
Examples:
Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in th..
Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in th..Question 2
Question: For given sequence, suggest possible next three terms and find the general term. 7,11,15,... Answer: First term=7, Common difference =11 -7 = 15 - 11 = 4 The three terms form an A.P. Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = 27 General term is = a + ..
Question: For given sequence, suggest possible next three terms and find the general term. 7,11,15,... Answer: First term=7, Common difference =11 -7 = 15 - 11 = 4 The three terms form an A.P. Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = 27 General term is = a + .. Result
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