Friday, February 22, 2019

Arithmetic progression Essay

1. What is the sum of the nonrepresentational place 8, 16, 32 if there are 15 marges? (1 point)= 8 (-2)15 -1 / (-2)-1= 873842. What is the sum of the geometric sequence 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 sequence if the first term is 11, the last term is 11,264 and the greenness ratio 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 hassles 5 8, determine whether the problem should be fermentd using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your answer in complete sentences. You do not need to solve. 5. Jackie deposited $5 into a checking depict in February. For for each one month following, the deposit amount was doubled. How much money was deposited in the checking accoun t in the month of August? (1 point)To solve this, a geometric sequence is riding habitd because 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 shtup 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 issuing of cans keep decreasing.7. A major US city key outs a 12% increase in laurel wreath 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 end of 2004?(1 point)You would use a geometric series formula because the increase will be different each year because the percentage increase affects the outcome of the adjoining years by a common ratio.8. 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 shit to use the formula for an arithmetic sequence because the amount of decrease trunk the same and the ratio between the set of numbers stays the same.9. use 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.

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