10 May 2012
In our daily lives we may assume that math is not relevant, but it really is something that we use so often that its like thinking about breathing. With that said it is prudent to use deductive reasoning to use the right mathematical approach of geometric or arithmetic sequence to solve the problem in the most efficient way. Numerous times deductive reasoning is used on an equation or variable to come up with the most direct approach to an answer . The first problem # 35 asks: “A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125; the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?” (Bluman, 2011) I used deductive reasoning and the arithmetic approach to come up with my solution to this equation. : Simple addition of: 100+125+150+175+200+225+250+300+325=$1800.
The cost will be $1800. A=100, d=25, n=9. The second question # 37 asks: “A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?”(Bluman, 2011) If an amount P deposited in an account that gives an annual rate of interest r, compounded annually after n years is given by P*(1 + r)^n