Men sizning savolingizni noto'g'ri tushunganim uchun uzr so'rayman. Keling, f (i) = k (f (i-1) + k a funksiya quyidagicha yozilishi mumkinligini tushuntiraylik: f (i) = k (f (i-1) + a) = k (f (i-2) + a) + a) = k (k (f (i-3) + a) + a) + a... Shuning uchun bizda: f (i,t) = (k ^ t) f (i-t) + a k + a k ^ 2 +... + a k ^ t Ushbu funksiya ikkinchi hadining geometrik qator minus uning birinchi had, qaerda a birinchi had va k umumiy nisbat. Geometrik qator uchun, summa quyidagicha: S (n) = b (k ^ 1) - n ^ - (k-1), qaerda b birinchi had, k nisbat va n funksiya hadlari
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