Factorial Questions
Question 1 - Question: Find n. Answer: ..
Question 1 - Question: Find n. Answer: ..Factorial Notation
Factorial Notation - Let n be a positive integer. The continued product of first n natural numbers is called factorial n and is denoted as n..
Factorial Notation
Let n be a positive integer. The continued product of first n natural numbers is called factorial n and is denoted as n..
Factorial Notation
Let n be a positive integer. The continued product of first n natural numbers is called factorial n and is denoted as n..
Find the sum of the first n natural numbers using a pattern.
Find the sum of the first n natural numbers using a pattern. => n ( n - 1 ) 2 or ( n + 1 ) ( n + 2 ) 2 or Cannot be determined or n ( n + 1 ) 2..
To find the sum of n terms of a GP
Let a = First term, r = common ratio, n = number of terms. Multiply both sides of (i) by r, the common ratio. Subtracting (ii) from (i), we get ..
Let a = First term, r = common ratio, n = number of terms. Multiply both sides of (i) by r, the common ratio. Subtracting (ii) from (i), we get ..Sum Formula
For any two angles A and B, we have 1. Sin(A+B) = SinA CosB + CosA SinB. 1. Cos(A+B) = CosA CosB + SinA SinB. 1. Tan(A+B) = (TanA + TanB) / (1 - TanA TanB). 1. Cot(A+B) = (CotB CotA - 1) / (CotB + CotA..
(4n + 1) series
This is also called neptunium series. It is an artificial series starting with..
The formula S = n(n+1)(2n+1)6 is used to find the sum of the squares ..
The formula S = n(n+1)(2n+1) 6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 18 natural numbers. => 222 or 2109 or 2127 or 2145..
The probability that a bulb manufactured by a factory will fuse before..
The probability that a bulb manufactured by a factory will fuse before 100 days of use is 0.05. Find the probability that out of 5 such bulbs at least one will fuse before 100 days of use. => 5 · ( 19 20 ) 5 or 1 - ( 19 20 ) 5 or 1 - ( 1 20 )..
Result
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