Math progression composition

1 . Precisely what is the quantity of the geometric sequence eight, –16, thirty-two … if perhaps there are 12-15 terms? (1 point)

= almost eight [(-2)^15 -1] / [(-2)-1]

= 87384

2 . What is the sum of the geometric pattern 4, 12, 36 … if you will find 9 terms? (1 point)

sama dengan 4(3^9 – 1)/(3 – 1)

= 39364

3. What is the sum of a 6-term geometric pattern if the initially term is usually 11, the very last term is –11, 264 and the prevalent ratio is usually –4? (1 point)

= -11 (1-(-4^n))/(1-(-4))

= 11(1-(-11264/11))/(1-(-4))

sama dengan 2255

4. What is the sum of your 8-term geometric sequence in the event the first term is twelve and the previous term is definitely 781, 250? (1 point)

=8 (1-390625)/(1-5)

=781, 248

For complications 5 almost 8, determine whether or not the problem ought to be solved making use of the formula to get an arithmetic sequence, math series, geometric sequence, or perhaps geometric series.

Explain your answer in complete content. You do not need to resolve. 5. Cassie deposited $5 into a bank account in March. For each month following, the deposit sum was bending. How much money was deposited in the checking account inside the month of August? (1 point)

To resolve this, a geometrical sequence can be used because the terms share a constant ratio because 2 .

6th. A local grocery store stacks the soup can lids in such a way that every single row provides 2 fewer cans than the row beneath it. In the event there are thirty-two cans at the bottom row, how many total cans are recorded the bottom 18 rows? (1 point)

To fix you use a formula intended for an arithmetic series because for every line, the number of cans keep reducing.

7. A serious US metropolis reports a 12% embrace decoration sales during the every year holiday season. In the event that decoration product sales were almost eight million in 1998, how much would the city statement in total decor sales by the end of 2005? (1 point)

You would use a geometric series formula as the increase will be different each year because the percentage enhance affects the results of the subsequent years with a common ratio.

8. A fireplace contains 46 bricks along its underlying part row. If each row above decreases by four bricks, how many stones are on the 12th line? (1 point) To solve you will need to use the formula for an arithmetic sequence because the quantity of decrease remains precisely the same and the percentage between the group of numbers stays the same.

being unfaithful. Using full sentences, clarify the difference between an dramatical function and a geometric series. (2 points) An dramatical function is usually continuous. A geometric series can be discrete.

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