..Dividendo
If a:b=c:d then a-b:b=c-d:d Subtracting 1 from both sides, we get ..
If a:b=c:d then a-b:b=c-d:d Subtracting 1 from both sides, we get ..
Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..Number Theory
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 integer..
Number Theory - Test Questions
Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 (n+m) and (n+m+1) are consecutive intege..
Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 (n+m) and (n+m+1) are consecutive intege..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 = ..
Verification by numerical problems
then show that (A+B)+C = A+(B..
then show that (A+B)+C = A+(B..Complex Numbers
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the types of compl..
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