ruby 'odd number

Let n = 2k+1 The number of terms is n+1 i.e., (2k + 1) + 1 = 2k + 2. In this case, there are two middle terms and are after k terms. Thus, in (a + b) n : ..

Question: Define an odd number. Answer: A number when divided by 2 gives remainder 1 is called an odd number..

The last term in L.H.S of (ii) and (iii)will depend on the fact as to whether n is even or odd..

The middle terms may be easily found out by using the following method: i) When n is even, we add the even number 2 to n and divide by 2 to get the middle term i.e., term. ii) When n is odd, we add the odd numbers 1 and 3 to n and divide by 2 to get the mi..

n C 0 , n C 1 , ..... n C n are called binomial coefficients. n C 0 , n C 2 n C 4 , ..... are called even binomial coefficients. n C 1 , n C 3 , n C 5 .... are called odd binomial coefficient..

of (a + b) n and is given by - If n is an odd natural number, then there are two middle terms in the expansion of (a + b)n and are given by i) The sum of all binomial coefficients in the expansion of (1+x) n is 2 n . ii) The sum of all even binomial coefficients in the expressio..

Ruby Laser - In 1960, T .H. Maiman constructed the first laser using a Ruby crystal. Ruby is a crystalline form of silica(Al 2 O 3 ) with a slight natural doping of chromium. It has the following advantages for being used as a laser. (i) It is a solid having suitably a..

Count the number of odd numbers. => 6 or 10 or 5 or 4..

Count the number of odd numbers. => 10 or 5 or 4 or 6..

How many odd numbers are there in the figure? => one or four or three or zero..