MAT1505-03/04 17F Quiz 7 Print Name (Last, First) __________________ , _______________|____Show all work, including mental steps, in a clearly organized way that speaks for itself. Use proper mathematical notation, identifying expressions by their proper symbols (introducing them if necessary), and use EQUAL SIGNS and arrows when appropriate. Always SIMPLIFY expressions. BOX final short answers. LABEL parts of problem. Keep answers EXACT (but give decimal approximations for interpretation when appropriate). Indicate where technology is used and what type (Maple, GC).1. 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 . a) Show the evaluation of 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 .b) Evaluate the decimal values of the first 20 terms on your favorite tech device, but don't bother listing them on this sheet. Do these seem to confirm part a)? If so, at which term in the sequence (give LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYvNiZRIm5GJ0YyRjVGOC8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRidGNS9GOVEnbm9ybWFsRic= to 5 decimal places) does the term get within 1 percent of the limiting value? If not, reconsider part a).
2. Find the sum of the series exactly and to 4 decimal places: 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. Support your work by identifying the values of the two parameters needed for the relevant formula.3. 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. Use Maple to find a formula for the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYnth partial sum of this infinite series, and then take its limit to obtain the value of this series, and finally compare your exact result with Maple's value for the infinite series.solution1. a) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRictRjY2LVEifkYnRjlGOy9GP0Y9RkBGQkZERkZGSEZKL0ZORkwtRiw2JVEld2l0aEYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJnBsb3RzRidGL0YyLyUrZXhlY3V0YWJsZUdGPUY5RjktRjY2LVEiOkYnRjlGO0ZTRkBGQkZERkZGSC9GS0ZPRk1Gam5GOQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY5LUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRIm5GJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUYsNiVRJ2FyY3RhbkYnL0YwRj1GOS1JKG1mZW5jZWRHRiQ2JC1GIzYnLUYsNiNRIUYnLUYjNiZGW28tSSZtZnJhY0dGJDYoLUYjNiUtSSVtc3VwR0YkNiUtRiw2JkZRRi8vJStleGVjdXRhYmxlR0Y9RjItRiM2JS1JI21uR0YkNiVRIjJGJ0Zqb0Y5LyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmJwRjktRiM2Jy1GX3A2JFEiNEYnRjktRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZhcS1GZm82JUZPLUYjNiUtRl9wNiRGYXBGOUZicEY5RmVwRmJwRjkvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl5yLyUpYmV2ZWxsZWRHRj1GYnBGOUZbb0ZicEY5RjktRjY2LVEiO0YnRjlGOy9GP0YxRkBGQkZERkZGSEZVRk0tRiw2JVEiQUYnRi9GMi1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1JJ211bmRlckdGJDYlLUY2Ni1RJGxpbUYnRjkvRjxRJnVuc2V0RicvRj9GZHMvRkFGZHMvRkNGZHMvRkVGZHMvRkdGMS9GSUZkc0ZVL0ZOUSwwLjE2NjY2NjdlbUYnLUYjNiZGT0ZSLUY2Ni1RKCZpbmZpbjtGJ0Y5RjtGPkZARkJGREZGRkhGVUZXRjkvJSxhY2NlbnR1bmRlckdGPUYrLUZnbjYkLUYjNiRGT0Y5RjlGY3ItRiw2JVEmZXZhbGZGJ0YvRjItRmduNiQtRiM2Ji1GLDYlUSRyaHNGJ0YvRjItRmduNiQtRiM2JS1GLDYlUSIlRidGL0YyRmpvRjlGOUZqb0Y5RjlGY3ItRiw2JVErdGhyZXNoaG9sZEYnRi9GMkY1LUZfcDYkUSUwLjk5RidGOS1GNjYtUScmc2RvdDtGJ0Y5RjtGPkZARkJGREZGRkhGVUZXRmZ1RmpvRjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY4LUkjbW9HRiQ2L1EkZm9yRicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkgtRiw2LVEifkYnL0YzUSdub3JtYWxGJ0Y3RjpGPEY+RkBGQkZERkZGSS1JI21pR0YkNiVRIm5GJy8lJ2l0YWxpY0dGMS9GM1EnaXRhbGljRidGSy1GLDYvUSVmcm9tRidGL0YyRjVGN0Y6RjxGPkZARkJGREZGRklGSy1JI21uR0YkNiRRIjFGJ0ZORkstRiw2L1EjdG9GJ0YvRjJGNUY3RjpGPEY+RkBGQkZERkZGSUZLLUZmbjYkUSMyMEYnRk5GSy1GLDYvUSNkb0YnRi9GMkY1RjdGOkY8Rj5GQEZCRkRGRkZJRkstRlE2JVEmZXZhbGZGJ0ZURlYtSShtZmVuY2VkR0YkNiQtRiM2JS1GZm82Ji1GIzYoRlAtRiw2LVEiLEYnRk5GNy9GO0YxRjxGPkZARkJGREZGL0ZKUSwwLjMzMzMzMzNlbUYnLUZRNiVRImFGJ0ZURlYtRmZvNiQtRiM2JUZQLyUrZXhlY3V0YWJsZUdGOUZORk5GW3FGTkZOLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRltxRk5GTkZLLUYsNi9RJGVuZEYnRi9GMkY1RjdGOkY8Rj5GQEZCRkRGRkZJRktGX29GW3FGTg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEkMTYuRicvRjNRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGPkY+LUkjbW9HRiQ2LVEiPkYnRj4vJSZmZW5jZUdGQi8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZXLUYsNiVRK3RocmVzaGhvbGRGJ0YvRjJGQEY+This increasing sequence enters the 1% strip when LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiPUYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTi1JI21uR0YkNiVRIzE2RidGMkY8RjJGPA== and then stays within that strip.2.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.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