'Arithmetic progression Essay\r'

'1. What is the sum of the nonrepresentational episode 8, â€16, 32 … if there atomic number 18 15 cost? (1 point)\r\n= 8 [(-2)^15 -1] / [(-2)-1]\r\n= 87384\r\n2. What is the sum of the nonrepresentational sequence 4, 12, 36 … if there argon 9 terminuss? (1 point)\r\n= 4(3^9 †1)/(3 †1)\r\n= 39364\r\n3. What is the sum of a 6-term geometric sequence if the stolon term is 11, the run term is â€11,264 and the common ratio is â€4? (1 point)\r\n= -11 (1-(-4^n))/(1-(-4))\r\n= 11(1-(-11264/11))/(1-(-4))\r\n= 2255\r\n4. What is the sum of an 8-term geometric sequence if the first term is 10 and the last term is 781,250? (1 point)\r\n=8 (1-390625)/(1-5)\r\n=781,248\r\nFor chores 5 8, determine whether the problem should be kneadd using the form for an arithmetic sequence, arithmetic serial, geometric sequence, or geometric series. Explain your answer in complete sentences. You do not indispensableness to solve. 5. Jackie deposited $5 into a checking discover in February. For each month following, the deposit come was doubled. How such(prenominal) money was deposited in the checking account in the month of August? (1 point)\r\nTo solve this, a geometric sequence is employ because the terms share a immutable ratio as 2.\r\n6. A topical anesthetic grocery store stacks the dope up cans in such a itinerary that each row has 2 few cans than the row below it. If there are 32 cans on the can buoy row, how many a(prenominal) ingrained cans are on the hobo 14 rows? (1 point)\r\nTo solve you use a formula for an arithmetic series because for every row, the number of cans keep decreasing.\r\n7. A major US city reports a 12% increase in decoration gross gross sales during the yearly holiday season. If decoration sales were 8 million in 1998, how much did the city report in total decoration sales by the lay off of 2004?(1 point)\r\nYou would use a geometric series formula because the increase will be different each year becau se the character increase affects the outcome of the next years by a common ratio.\r\n8. A fireplace contains 46 bricks along its bottom row. If each row above decreases by 4 bricks, how many bricks are on the 12th row? (1 point) To solve you film to use the formula for an arithmetic sequence because the amount of decrease remains the said(prenominal) and the ratio between the set of total stays the same.\r\n9. Using complete sentences, apologise the difference between an exponential bleed and a geometric series.(2 points) An exponential serve up is continuous. A geometric series is discrete.\r\n'