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) < 3−4n −4n−4 < −4n  −4 < 0  x=1   Verifying Solution:  a1​=3−4⋅ 1=−1 a2​=3−4⋅ 2=−5 a3​=3−4⋅ 3=−9  d=a2​−a1​=(−5)−(−1)=−4  a(n+1) = a(n) + d d<0

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