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Symmetric Difference of two sets
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..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 (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..
Absolute Error and Percentage Relative Error
The difference between these two values is called the absolute error. Absolute Error = Original number - Approximated number The ratio of the absolute error and the original number expressed in percentage form is called percentage relative erro..
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 = 2..
Question 2
Question: For the given sequence, suggest possible next three terms and find the general term. -3, 1, 5,---- Answer: First term = -3, Common difference = 1-(-3) = 4 = 5 - 1 Next three terms are 5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17 General term is = a + (n - 1)d = -3 + (n - 1)4 =..
Question 9
Question: If the first term of an AP is 11, the common difference is 3 and the last term is 98, find the number of terms. Answer: 98 = 11 + (n - 1)3 98 - 11 + 3 = 3n 3n = 90 n = 30 Hence the number of terms = 30..
Question: If the first term of an AP is 11, the common difference is 3 and the last term is 98, find the number of terms. Answer: 98 = 11 + (n - 1)3 98 - 11 + 3 = 3n 3n = 90 n = 30 Hence the number of terms = 30..Examples:
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 is the seco..
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 is the seco.. Result
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