Arithmetic progression Essay

1. What is the sum of the geometric episode 8, 16, 32 if there are 15 terms? (1 point)= 8 (-2)15 -1 / (-2)-1= 873842. What is the sum of the geometric order 4, 12, 36 if there are 9 terms? (1 point)= 4(39 1)/(3 1)= 393643. What is the sum of a 6-term geometric chronological while if the first term is 11, the last term is 11,264 and the common proportionality is 4? (1 point)= -11 (1-(-4n))/(1-(-4))= 11(1-(-11264/11))/(1-(-4))= 22554. 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)=8 (1-390625)/(1-5)=781,248For problems 5 8, determine whether the problem should be solved using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your swear out in complete sentences. You do not need to solve. 5. Jackie deposited $5 into a checking account in February. For each(prenominal) month following, the deposit amount was doubled. How much money was deposited in the che cking account in the month of portentous? (1 point)To solve this, a geometric sequence is utilizationd beca white plague the terms share a constant ratio as 2.6. A local grocery store stacks the soup cans in such a way that each row has 2 fewer cans than the row below it. If there are 32 cans on the bottom row, how many total cans are on the bottom 14 rows? (1 point)To solve you use a formula for an arithmetic series because for every row, the number of cans keep decreasing.7. A major US city reports a 12% increase in thenar sales during the yearly holiday season. If laurel wreath sales were 8 million in 1998, how much did the city report in total decoration sales by the end of 2004?(1 point)You would use a geometric series formula because the increase volition be different each year because the percentage increase affects the outcome of the next years by a common ratio.8. A fireplace contains 46 bricks along its bottom row. If each row in a higher place decreases by 4 bricks, how many bricks are on the 12th row? (1 point) To solve you have to use the formula for an arithmetic sequence because the amount of decrease remains the same and the ratio between the slump of numbers stays the same.9. Using complete sentences, explain the difference between an exponential function and a geometric series.(2 points) An exponential function is continuous. A geometric series is discrete.