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Case 1: n is even.
Let n = 2k The number of terms is n+1 i.e., 2k+1. The middle term has k terms before it. ..
Let n = 2k The number of terms is n+1 i.e., 2k+1. The middle term has k terms before it. ..Expansion of (a+b)^n
Method of writing expansion for (a+b) n - Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one..
Principal Quantum Number (n)
Principal Quantum Number (n) - This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc..
Principal Quantum Number (n) - This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc..Principal Quantum Number (n)
This quantum number determines the main energy level or shell in which an electron is present. It is usually denoted by n and can have any whole number value such as: n = 1, 2, 3, 4 .. etc. The various values of n as 1, 2, 3, 4 .etc...
To insert n Harmonic Means between two given quantities
To insert n Harmonic Means between two given quantities. Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. ..
To insert n Harmonic Means between two given quantities. Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. ..Total number of subsets in a set is 2n
The total number of all possible subsets of a given set containing n elements is 2 n..
To find the nth term of an H.P
To find the n t h term of an H.P, find the n t h term of the corresponding A.P. obtained by the reciprocals of the terms of the given H.P. Now the reciprocal of the n t h term of an A.P. will be the n t h term of the H...
2nd Method:
from 1 s t method Let x = 24 k and y = 5k (i) (ii) Ans: (i) , (ii..
from 1 s t method Let x = 24 k and y = 5k (i) (ii) Ans: (i) , (ii..Mathematical Induction Conclusion
Conclusion - Let n N and P(n) denote a certain statement or formula or theorem. Then P(n) holds good for every natural number n if (i) it holds for n = 1 and (ii) it holds for n = k+1 whenever it holds for n =..
Middle Terms for Positive Integral Index
Middle Terms for Positive Integral Index - The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..
Result
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