find value of n in 2n+¹ - 2n-¹ = 48
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1) find value of n in 2n+¹ - 2n-¹ = 48
Step-by-step explanation:
(n+1)!=12(n−1)!
(n(n+1)−12)(n−1)!=0 [n!=n(n−1)!]
As (n−1)! cannot be zero
=>(n(n+1)−12)=0
n2+n−12=0
n2+4n−3n−12=0
(n+4)(n−3)=0
Either n=−4 or n=3
For n=−4,(n−1)! is not defined
=> Value of n is 3
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