the first swing is 40 inches. How far does the bob travel in coming to rest?ELABORATEExercise Problems:1.How many terms of the sequence -9, -6. -3, .. must be taken so that the sum is6622. 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 manylayers are there?4.5.An uncle places a sum of money in a savings account for a nephew whenhe is born. On each succeeding birthday for the nephew, the uncle deposits $10eparty 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 anygTans, astrerie, mechanca, photoceng, racording, or oherwise of any part of this cooument wtout the prior witan pemasion of S ty prohted 2829 / 67more than on the preceding birthday. The total of the first 21 deposits is $3675.How large was the 1" deposit?6.Determine x so that x, 2x+ 7, 10x -7 wil form a G.P.Insert the specified number of geometric meana. Six, between I and 128b. Six, between 0.3 and 3,000,0007.An investment for an oil acreage paid a man, in each year after the other.three times as much as in the preceding year, if the investment paid $45.375 inthe first five years, how much did it pay in the 1" year and in the 4" year?8.EVALUATEPractice Problems:Show complete and orderly solutions. Enclose final answers.1. Of one hundred participants in the seminar,89 are Civil Engineers30 are Geodetic Engineers20 are Sanitary Engineers19 are both Civil and Geodetic Engineers2 are both Sanitary ond Geodetic Engineers10 are both Sanitary and Civil Engineers1 is a Civil, Geodetic and Sanitary Engineera. How many participants are Civil Engineers only?b. How many participants are Geodetic Engineers only?c. How many participants are Sanitary Engineers only?2. Given that U - (x:sxS 10., x is an integer).G= (x:x is a prime number),H= (x:xis an even number).P= (1, 2, 3, 4. 5).List the elemernts of:a. H'n (GUP) b. (PUHUG)'n GN H)3. The 5th term of an A.P, is 15 and the first tem is 3. What is the sum of the first 10terms?4. The number 28, x + 2, 112 form a geometric progression. What is the 10th term?5. There are 6 geometric means between 4 and 8748. Find the sum of the terms.6. Find the fourth term of the progression 1/2, 1/5, 1/8.eparty at and tor the ve e of SU Raproductor, mng in a meva systam, dmung uplnading or pesting onina, or transmitng nany tormor by annens, eetoric, medherical, photocopyng, recordng, or oherwe of any cert of the dooument witout the pro witen pemission of SLU. icty prohbted 29DIFICAL

Question

the first swing is 40 inches. How far does the bob travel in coming to rest?ELABORATEExercise Problems:1.How many terms of the sequence -9, -6. -3, .. must be taken so that the sum is6622. 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 manylayers are there?4.5.An uncle places a sum of money in a savings account for a nephew whenhe is born. On each succeeding birthday for the nephew, the uncle deposits $10eparty 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 anygTans, astrerie, mechanca, photoceng, racording, or oherwise of any part of this cooument wtout the prior witan pemasion of S ty prohted 2829 / 67more than on the preceding birthday. The total of the first 21 deposits is $3675.How large was the 1&#34; deposit?6.Determine x so that x, 2x+ 7, 10x -7 wil form a G.P.Insert the specified number of geometric meana. Six, between I and 128b. Six, between 0.3 and 3,000,0007.An investment for an oil acreage paid a man, in each year after the other.three times as much as in the preceding year, if the investment paid $45.375 inthe first five years, how much did it pay in the 1&#34; year and in the 4&#34; year?8.EVALUATEPractice Problems:Show complete and orderly solutions. Enclose final answers.1. Of one hundred participants in the seminar,89 are Civil Engineers30 are Geodetic Engineers20 are Sanitary Engineers19 are both Civil and Geodetic Engineers2 are both Sanitary ond Geodetic Engineers10 are both Sanitary and Civil Engineers1 is a Civil, Geodetic and Sanitary Engineera. How many participants are Civil Engineers only?b. How many participants are Geodetic Engineers only?c. How many participants are Sanitary Engineers only?2. Given that U - (x:sxS 10., x is an integer).G= (x:x is a prime number),H= (x:xis an even number).P= (1, 2, 3, 4. 5).List the elemernts of:a. H'n (GUP) b. (PUHUG)'n GN H)3. The 5th term of an A.P, is 15 and the first tem is 3. What is the sum of the first 10terms?4. The number 28, x + 2, 112 form a geometric progression. What is the 10th term?5. There are 6 geometric means between 4 and 8748. Find the sum of the terms.6. Find the fourth term of the progression 1/2, 1/5, 1/8.eparty at and tor the ve e of SU Raproductor, mng in a meva systam, dmung uplnading or pesting onina, or transmitng nany tormor by annens, eetoric, medherical, photocopyng, recordng, or oherwe of any cert of the dooument witout the pro witen pemission of SLU. icty prohbted 29DIFICAL

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