Let Us EnhanceAnswer the following problems using the concept of arithmeticsequences.PROBLEM 1. Randy wants to form a club of Axie players in his barangay. Heintends to have five members in the club including himself. Each membermust be 3 years younger than the previous one. If Randy is 30 years old andis the oldest member of the club, what is the age of the youngest member?(Hint: The ages must be arranged in DESCENDING ORDER.)What is asked?What are the givenfacts?What operation orformula will you use?( SOLVE )What is the answer?PROBLEM 2. Carla has a collection of antique medals. The medals are placedin an airtight case where it is arranged from lightest to heaviest. The medalshave a common weight difference of 20 grams. If the lightest medal weighs100 grams and the heaviest weighs 300 grams, how many medals are inCarla's collection? (Hint: n represents the number of medals)What is asked?What are the givenfacts?What operation orformula will you use?( SOLVE )What is the answer?10Let Us ReflectThe concept of arithmetic sequences is a concept that we arestrongly familiar with but only expressed in the technical language ofIf uue

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the double precision loating point machine number 407Booooo20C6, writen in hexadecimal, where the x designates an unknown hex number. is the foating point number O Between 1.000,000 and 1.000.000.000 O Cannot be detemined from the information given O Between O and 1,000,000 O Larger than 1,000.000.000 O Less than zero
If we can start other than 1, will the Fibonacci sequence always be increasing? Choose the best choice that answers this question. a. Fibonacci sequence will neither increase nor decrease because the terms of this sequence always fluctuate. O b. No, Fibonacci sequence will not always be increasing because if we start with a negative number then we go to the left of the number line. That is, we'll be having a decreasing sequence. O c. Yes, Fibonacci sequence will always be increasing because we always add two terms. That is, to get the next term, we have to add the two previous terms.
6. In an arithmetic sequence, let S1 = 54 and S2 = 40. a. Write down u1 and uz. b. Find the common difference d. c. Find S3 and S4. [
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May someone help me with step by step for questions #2 and #3 please? Thank you!
A supermarket stores shopping carts by nesting them. Ea h shopping cart is 36 inches long. The first cart contributes its entire length to the line. Each additional carts add 9 inches to line. Consider the sequence that gives the lenth of a line of carts, starting with 1 cart, the 2 carts, the 3 carts and so on. Write a variable expressio for the length l of a line of n carts
the first swing is 40 inches. How far does the bob travel in coming to rest? ELABORATE Exercise Problems: 1.How many terms of the sequence -9, -6. -3, .. must be taken so that the sum is 662 2. Find the 39h term where the 4h term is -8 and d = 5. 3. Find the 63rd term where the 7m term is 23 and d = -0.3. In a pile of logs, each layer contains one more log than the layer above, and the top layer contains just one log. If there are 105 logs in the pile, how many layers are there? 4. 5. An uncle places a sum of money in a savings account for a nephew when he is born. On each succeeding birthday for the nephew, the uncle deposits $10 eparty of and tor the excusive use of SLU. Reproductior, storing in a remevai system, derbuting uplcading or posting onine, or transmiting in any form or by anyg Tans, astrerie, mechanca, photoceng, racording, or oherwise of any part of this cooument wtout the prior witan pemasion of S ty prohted 28 29 / 67 more than on the preceding birthday. The total of…
2. Dianne plans to save money to buy for her favorite school bag. On the first day, she saves 50 pesos. To be aule to reach the amount needed, she must increase her savings by 20 pesos every day. If she will be able to manage the same increase every single day, how much will be her savings on the 15" day?
ST III- Problem Solving. Concluding statement is necessary. 1. A grasshopper jumps in a geometric sequence. Each succeeding jumps is 1/3 of the previous jump. If the grasshopper's first jump is 60 cm. find the distance of each jump and the distance the grasshopper has covered after 5 jumps.
2. Look at the sequence of figures shown below. The first 4 terms are shown: Come up with a couple of different verbal/symbolic/picture representations of counting strategies. For example, the picture to the right matches the symbolic representation n+ (n-1) and the verbal represenation Add the n blocks along the bottom to the n- -1 blocks on the right side.
2. You have found a new apartment in Fort Worth that only costs you $600 for the first month. The catch is that the price of the apartment will increase by $50 each month that you live there. a. What do the 600 and the 50 represent in terms of arithmetic sequences? b. Write a formula for the monthly cost of the apartment. c. How much will you end up paying for your 15th month of living there? d. How much money will you pay IN TOTAL (that means sum all the rents together) to live there for 15 months? a.) what do the 600 and the 50 represent in terms of arithmetic sequence

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