I have seen the below value in the text book. Can someone explain this equation?
(n+1)! = (n+1)(n)(n-1)
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answers:
poornakumar b say: n is a symbol & not a number. Unless you attribute (give) some value to it you can't ask the 'value' of (n+1), you idiot !
Your expression (n+1)! =(n+1)(n)(n-1) is fcuking wrong. A correct expression is
(n+1)! =(n+1)(n)(n-1)(n-2)(n-3)(n-4) . . . . . (4)(3)(2)(1).
See that the expression of muliplicants ends in 1.That is the meaning of (n+1)!
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Wendy say: n=3
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Norebal say: When a rule,law,etc apply to any number ,the number is represented by the symbol " n ". It is different that using " x " in Algebra for the reason that x represents a exact number, while n represents one value at a time that follows a rule. It is used when dealing with series or sequences
For example. " Write the sum of all the whole numbers from 1 to 5 ". Considering that Mathematics is a " Universal Language" we use symbols to replace the written language like English.
The greek letter sigma That looks like M but sidewise ( a big S ) represents Summation ( the sum of ... ). The example above is written :
........................................... = 5
........................................ The symbol Sigma = 1 + 2 + 3 + 4 + 5 ..... We could call 1 the lower limit and 5 the upper.limit
........................................... n= 1
What about ( n + 1 ) ! this will include the next number after the upper lime.The lower limit also increases by 1
......................... n = 5
For example : ... SIGMA ( n +1 ) = 2 + 3 + 4 + 5 + 6
......................... n = 1
I hope this helps
When we write " n factorial " we are using n in the same sense. 4! = 1 x 2 x 3 x 4
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RAT M say: 22
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