arithmetic sequence or a geometric sequence  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

arithmetic sequence or a geometric sequence

Postby XpatienceX on Wed Nov 30, 2011 7:59 am

1) 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 that 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?

2) 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?
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Re: arithmetic sequence or a geometric sequence  TOPIC_SOLVED

Postby nona.m.nona on Fri Dec 02, 2011 4:11 pm

XpatienceX wrote:1) 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 that 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?

You added 100+125+150+175+200+225+250+275+300. Where are you having difficulty with this addition?

XpatienceX wrote:2) 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?

Either apply the compound-interest formula, apply the geometric series formulation, or else find the ten values and add them.
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