I was busy a little bit with few of my freelancing projects last three days. really sorry for the late answering. Anyway I could see in my website someone has asked to show above expression equals to 'np'. really that's pretty easy to do with the expansion. then you should know the variable here. that's just 'x'. 'x' has been varied from 0 to n. then you guys can keep expanding combinations as shown as above. that's quit different for A/L guys. But you may be taught this exactly once you go ahead furthermore. This is related to a basic stagedy in universe. It doesn't make sense yet but keep this too in your mind thoroughly. Every thing were in old syllabus before 2000. somehow once you recognize that n and p are constants you should be able to take them out. remaining part, you may confused sometimes coz I haven't shown that step there. summation can be separated into two parts as x=0 + form 1 to n. then you may see that x=0 will be dropped simply. so what a familiar expression is this now. are you astonished with it. it was caught simply? yeah that's the binomial expansion of (p+1-p)^n-1. whatever n is, whole part is gonna be equal to 1. that's the law of mother nature, one day you may realize it.
And also I have a kind request for math lovers, please try to understand the reality of integration. https://youtu.be/LMJaZJ69WkI
Don't forget to share your ideas.
By:SAPUMAL SENADEERAGE SASANKA SAGARA
No comments:
Post a Comment