Decreasing 36183

Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.

Result

x=




Step-by-step explanation:

a(n+1) = 3  4(n+1) a(n) = 3  4n a(n+1) < a(n)  3  4(n+1) < 34n 4n4 < 4n  4 < 0  x=1   Verifying Solution:  a1=34 1=1 a2=34 2=5 a3=34 3=9  d=a2a1=(5)(1)=4  a(n+1) = a(n) + d d<0



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