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  • https://ukrayinska.libretexts.org/%D0%A1%D0%BE%D1%86%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D1%96_%D0%BD%D0%B0%D1%83%D0%BA%D0%B8/%D0%95%D0%BA%D0%BE%D0%BD%D0%BE%D0%BC%D1%96%D0%BA%D0%B0/%D0%9A%D0%BD%D0%B8%D0%B3%D0%B0%3A_%D0%92%D1%81%D1%82%D1%83%D0%BF_%D0%B4%D0%BE_%D0%B5%D0%BA%D0%BE%D0%BD%D0%BE%D0%BC%D1%96%D1%87%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7%D1%83/11%3A_%D0%86%D0%BD%D0%B2%D0%B5%D1%81%D1%82%D0%B8%D1%86%D1%96%D1%97/11.01%3A_%D0%A1%D0%BF%D1%80%D0%B0%D0%B2%D0%B6%D0%BD%D1%8F_%D0%B2%D0%B0%D1%80%D1%82%D1%96%D1%81%D1%82%D1%8C
    \ почати {рівняння} M= 1 1+r + 1 (1+r) 2 + 1 (1+r) 3 +... + 1 (1+r) n = 1 r − 1 (1+r) n+1 − 1 (1+r) n+2 − 1 (1+r) n+3 −... = 1 r − 1 (1+r) n (1 (1+r) + 1 (1+r) 2 + 1 (1+р) 3 +...) = 1 р − 1 (1+р) п 1 ...\ почати {рівняння} M= 1 1+r + 1 (1+r) 2 + 1 (1+r) 3 +... + 1 (1+r) n = 1 r − 1 (1+r) n+1 − 1 (1+r) n+2 − 1 (1+r) n+3 −... = 1 r − 1 (1+r) n (1 (1+r) + 1 (1+r) 2 + 1 (1+р) 3 +...) = 1 р − 1 (1+р) п 1 р = 1 р (1− 1 (1+р) п). \ end {рівняння}