Math 20-1 (You will lose one mark if name missing) -->Name 20 21 Kuta Software LLC . All I rights reserved Unit 1: Sequences and Series Assignment Date Find the common difference, the 52nd term, and the SIMPLIFIED general term formula. 1) 21, 51, 81, 111, ... Find the first five terms and the SIMPLIFIED general term formula. 2) a = -4, d =2 Find the common difference and the SIMPLIFIED general term formula. 3) a= 1322 and agg = 3722 Find the missing term or terms in each arithmetic sequence. 4) ..., 27, 43 , ... Evaluate each arithmetic series described. 5) 9 + 15 + 21 + 27..., n=9 Given two terms in a geometric sequence find the first five terms. 6) a, =-162 and a, =-6Find the missing term or terms in each geometric sequence. 7 ) ..., 2, , 1250, ... Evaluate the geometric SERIES described. 8) 4 -24+ 144 -864..., n=6 Determine the number of terms n in this geometric SERIES. 9) -5 - 5 5 16400 S : 3 9 27 2187 10) Dana is rock climbing. She climbs 70 m up a cliff in the first hour. In each of the next four hours, she climbs 65% of the distance of the previous hour. What is the total distance Dana climbs after six hours? (SHOW WORK) 11) A sweepstakes gives away $1 000 000, by giving away $30 in the first week, $120 in the second week, $480 in the third week, and so on. How many weeks will it take to give away all of the prize money? (SHOW ALL WORK) Determine if each geometric series converges or diverges, and state sum of the series if it exists. 3 12) 3 -- 3 3 5 25 125 0 2021 Kuta Software LLC . All rights reserved :4-Made with Infinite Algebra 2