银行储蓄中经常碰到这样的问题:若本金为 a 元,年利率为 p,求 t 年后的本利和?以年初存款,年末结算,则第一年末的本利和为 a(1+p)元,第二年末的本利和为 a(1+p)~2元,第三年末的本利和为a(1+p)~3元……,经过 t 年(t 为整数),则其本利和 A 为 a(1+p)~t 元,即得复利公式:A=a(1+p)~t。 Bank savings often encounter such a problem: If the principal is a yuan, the annual interest rate of p, seeking the profit after t years? Deposit at the beginning of the year, the end of the year, then the first year of the profit and a (1 + p ), The profit at the end of the second year is a (1 + p) ~ 2 yuan, and the profit at the end of the third year is a (1 + p) ~ 3 yuan .... After t years (t is an integer) Ben Lee and A for a (1 + p) ~ t yuan, that compound interest formula: A = a (1 + p) ~ t.