number theory question answer

Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..

Question and Answers 2 Question and Answers 2.1 Question and Answers 2.2 Question and Answers 2.3 Question and Answers 2.4 ..

Question and Answers 1 Question and Answers 1.1 Question and Answers 1.2 Question and Answers 1.3 Question and Answers 1.4 ..

Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even number..

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..

Let the n t h term of series be an 3 + bn 2 + cn + d t n = an 3 + bn 2 + cn + d where a, b, c, d are constants. ..

Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number But (41) 2 = 41 x 41 = 1681 which..

Let x be the third proportional to 5 and 10. 5:10=10:x. 5x=10 x 10 (product of extreme is equal to product of means) 6) Find two numbers such that the mean proportional between them is 24 and the third proportional to them is 19..

= (14 - 12) - (7 - 3) + (4 - 2) = 2 - 4 + 2 = 0 The system may have infinite number of solutions or no solution. Put x = k in (1) and (2) and solve y + z = 6 - k 2y + 3z = 14 - k. Solving the above two equations, we have z = k + 2 and y = 4 - 2k When x = k, substituting these value..

Let S n = 1+2+3+4+...+n This series is an A.P. Here a=1, d=1, l = t n = n 2. To find the sum to squares of first n natural numbers. or..