Suppose inﬂation continues at three percent annually. (That is, an item that costs $1.00 now will cost $1.03 next year.) Let an = the value (that is, the purchasing power) of one dollar after n years.
(a) Find a recurrence relation for a_n.
(b) What is the value of $1.00 after 20 years?
(c) What is the value of $1.00 after 80 years?
(d) If inﬂation were to continue at ten percent annually, ﬁnd the value of $1.00 after 20 years.
(e) If inﬂation were to continue at ten percent annually, ﬁnd the value of $1.00 after 80 years.

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The Answer of Suppose inﬂation continues at three percent annually. (That is, an item that costs $1.00 now will cost $1.03 next year.) Let an = the value (that is, the purchasing power) of one dollar after n years. (a) Find a recurrence relation for a_n. (b) What is the value of $1.00 after 20 years? (c) What is the value of $1.00 after 80 years? (d) If inﬂation were to continue at ten percent annually, ﬁnd the value of $1.00 after 20 years. (e) If inﬂation were to continue at ten percent annually, ﬁnd the value of $1.00 after 80 years.

Suppose Inﬂation Continues at Three Percent Annually