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# Kevin Reality Series Project

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Math Studies Sequence Project

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### Kevin Reality Series Project

1. 1. By: Kevin Mishkin
2. 2. <ul><li>Equation: </li></ul><ul><li>an=a1 * r n-1 </li></ul><ul><li>an: last term </li></ul><ul><li>a1: first term </li></ul><ul><li>r: common ratio </li></ul><ul><li>n: position </li></ul>
3. 3. <ul><li>1)You borrowed 1,000 dollars from the bank. The interest rate is 5% annually how much will you owe the bank after 1,2,3 years. </li></ul><ul><li>2) What if you cant pay them back? Instead it takes you 20 years to pay them back, how much do you owe in the end? </li></ul>
4. 4. <ul><li>1) The initial debt: 1,000 dollars. </li></ul><ul><li>Common Ratio: 5% or/and .05 </li></ul><ul><li>Equation: U n = U 1 R n-1 </li></ul><ul><li>Year 1: 1,050 dollars </li></ul><ul><li>For the remaining years I just continued the sequence to get the amount of debt that is accumulating. </li></ul><ul><li>Year 2: 1,102.5 </li></ul><ul><li>Year 3: 1,157.625 </li></ul>
5. 5. <ul><li>2) The initial debt: 1,000 dollars. </li></ul><ul><li>Common Ratio: 5% or/and .05 </li></ul><ul><li>Time that debt has been accumulating: 20 years </li></ul><ul><li>Equation: U 1 (1-r n ) / 1-r </li></ul><ul><li>1000 (1 - .05 n ) / 1 - .05 </li></ul><ul><li>Debt Accumulation : 1052.631 </li></ul><ul><li>Total debt after 20 years: 2052.631 </li></ul>
6. 6. <ul><li>A plane is travelling at 900,000mph how much distance will you have traveled after the 4 hour? </li></ul><ul><li>After the 64 hours? </li></ul>
7. 7. <ul><li>1) 900,000 *4 = 3600000 m </li></ul><ul><li>1) you will have traveld 3600,000 miles. </li></ul><ul><li>2) 900,000 * 64 = 57600000 </li></ul><ul><li>2)You will have traveled 57600000 miles. </li></ul>