This article deals with the Binomial Theorem (Positive Integral Index). CAT has in the past years thrown some questions on this topic, but this has been rather infrequent when you compare the constant ...

Let n be a positive integer. Consider the binomial expansion of n^k for any positive integer k: n^k = (n-1)^k + Σ(i=1 to k) (-1)^(i+1) * (k choose i) * n^(k-i) Conjecture For any integer k > 2, the ...

1 Institute of Teacher Education, Davao Del Norte State College, Panabo, Philippines. 2 Institute of Advanced Studies, Davao Del Norte State College, Panabo, Philippines. Much of the development in ...

Here we are providing the NCERT Solution for CBSE Class 11 Mathematics Chapter 8, Binomial Theorem. You will get the detailed and accurate solution to each exercise question given in NCERT book. These ...

The power rule for derivatives, typically proven through the limit definition of derivative in conjunction with the Binomial theorem. In this manuscript we present an alternative approach to proving ...