A Linear Combination of Two Series
Difficulty: Easy · Topics: Algebra, Series, Geometric Series
Ikki qatorning chiziqli kombinatsiyasi
Two series \a n\ n=1^∞ and \b n\ n=1^∞ satisfy
Σ n=1^∞≤ft\a n-≤ft(1/2 )^n \=12, Σ n=1^∞b n=8
Calculate Σ n=1^∞(3a n-2b n).
\a n\ n=1^∞ va \b n\ n=1^∞ qatorlar quyidagilarni qanoatlantiradi:
Σ n=1^∞≤ft\a n-≤ft(1/2 )^n \=12, Σ n=1^∞b n=8
Σ n=1^∞(3a n-2b n) ni hisoblang.