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 ...

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 ...

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 ...

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 ...

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as ...

Abstract: Noise term in the reconstruction matrix in ghost imaging is a major cause of blurring imaging results. To remedy this problem, we propose a new ghost imaging method based on the binomial ...