15. 10 Σ 2+1 – 2 i=0 What is the value the sums of terms of a geometric progression
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What is the value the sums of terms of a geometric progression [show work]
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- How many terms must be added before the series 1357.... has a sum less than -75?The nth term of a sequence is represented by 2n4+25n2+32n−156n4+2n3−11n2−2n+17. What is the limit of the the nth term as x becomes increasingly large?1. The first term of a sequence that exhibits linear growth is 5 and the sixth term is 40. Find the sum of all consecutive terms of this particular sequence starting with the 80th term and ending with the 717th. All work must be included.
- c. If a second town would like to implement the combination of the two methods shownabove such that poles are switched between arithmetic and geometric progressions. Thefirst pole will be installed at 150 m and the pole number 25 will be installed at 1350 m.Then poles will be installed based on a geometric model such that it will cover 3.5 kmrepresenting the remaining distance. The ratio between two poles is 1.026. Determinethe location for pole number 10 of the new geometric progression model and theapproximate total number of poles that are needed for this town. Comment on theseresults.Calculations and data should be clearly explained and presented so that they areunderstandable to a non-technical audience.You wrote that a sequence is contractive if: |Xn+2 - Xn| <= |Xn - Xn-1|........ But I thought it was contractive if: |Xn+2 - Xn+1|<= C|Xn+1 - Xn| Are these equivalent, if so then how, because I dont se it? Or are they different ?Which of the following is the correct first four terms of the geometric progression with initial term 3 and common ratio 1/2?
- Suppose you borrow $250 from a payday lender for one week at a weekly rate of 10%. You'll obviously owe $275 at the end of a week. If you are unable to repay the loan, however, the lender will say that you now owe not only $275 but also 10% of that $275 at the end of the second week. Under this scenario, it turns out that after n weeks of not repaying anything you would owe 250 × 1.1n dollars. Use this formula to determine how much you would owe after 10 weeks. (Round to the nearest cent.)$648.44 648.44 What total percent interest are you being charged on your 10-week loan? (Round to the nearest percent.)1.5938 159 %Suppose it is not possible to solve this equation for n. In this scenario using R, create a function for the margin of error in terms of n and create a sequence of n values (say 1 to 800)4. Suppose (xn) converges, and let K be a positive integer. Now create a sequence (yn) by changing the first K terms of (xn) to different values. Can we say anything about whether (yn) converges or not? Justify your answer!
