The answer is 32.2102.
In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month.
How to find how much money will he have at the end of December?
the given scenario is an application of a geometric sequence with
a1=$20 and r= 22/2 *100 = 1.1
. Since December is 6 months from June, then to find out the 6th term.
As, a2 = a1 * r = 20 × 1.1 = 22
a3= a2 *r = 22 * 1.1 = 24.2
a4= a3 * r = 24.2 * 1.1 = 26.62
a5=a3 * r = 26.62 *1.1 = 29.282
a6= a4*r = 29.282 * 1.1 = 32.2102.
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