Albatta, k uchun ushbu tenglamani yechishda sizga yordam bera olaman. Birinchi qadam f ((k-1) hadni boshqa tomonga ko'chirishdir, buni ikkala tomondan ayirish orqali amalga oshirish mumkin. Bu bizga quyidagi tenglamani beradi: f ((k) - f ((k-1) = 3k Endi, biz ikkala tomonni 3 ga bo'lib, o'ng tomondagi k hadni ajratib olishimiz mumkin. Bu bizga quyidagi tenglamani beradi: f ((k) - f ((k-1) = 3k 3 ((f)) - f ((k-1)) = 3k f ((k) - f ((k-1) = k, nihoyat biz ikkala tomonga f ((k-1) qo'shishimiz mumkin, yakuniy javobni olish uchun: f ((k) = k + f ((k-1))
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