Арифметикалық және геометриялық прогрессия онлайн калькулятор

Онлайн-калькулятор көмектеседі шешуде арифметикалық және геометриялық прогрессия.
Есептеу n-ші мүшесі, арифметикалық немесе геометриялық прогрессия сомасын, алғашқы n мүшелерінің, сондай-ақ, калькулятор көрсетеді алғашқы он мүшесінің прогрессия.
Ұсынамыз мүшелерінің бірі прогрессия A к, қадам (айырмасы) үшін d арифметикалық прогрессияның немесе бөлгіш q үшін геометриялық прогрессияның, және (n).

Прогрессияның белгілі мүшесі: A
Прогрессия қадамы d немесе Q бөлімі
N Тең үшін есептеулер жүргізу
Арифметикалық прогрессия
Геометриялық прогресс

Нәтижесі:
Find the first member of the progression: A₁ = A_k - (k - 1)·d
A₁ = 4 - (2-1)·(6) = -2
Find the nth member of the progression: A_n = A₁ + (n - 1)·d
A₁₈ = -2 + (18-1)·(6) = 100
The sum of the first n members of the progression: S_n = n·(A₁ + A_n)/2
S₁₈ = (-2 + 100)·(18)/2 = 882

The first 10 members of the progression:
A₁ = -2
A₂ = A₁ + d = 4
A₃ = A₁ + 2·d = 10
A₄ = A₁ + 3·d = 16
A₅ = A₁ + 4·d = 22
A₆ = A₁ + 5·d = 28
A₇ = A₁ + 6·d = 34
A₈ = A₁ + 7·d = 40
A₉ = A₁ + 8·d = 46
A₁₀ = A₁ + 9·d = 52

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