Math 1051, Summer 2007, Worksheet 181. Figure out the nth term of the following sequences, and use this to findthe 50th and 100th terms of the sequences:(a) 1, 5, 9, 13, 17...(b) -200, -183, -166, -149...(c) 1024, 976, 928, 880...2. Find the sums:(a) 2 + 5 + 8 + · · · + 425(b) The sum of the first 47 terms of the arithmetic sequence -17, -13, -9, ...(c) The sum of all even numbers between 11 and 265.(d)62Xi=3(5i − 82)13. Solve the following:(a) If the first term of an arithmetic sequence is 8, and the 12th term is -36,find the third term.(b) If the fourth term of an arithmetic sequence is -24, and the tenth termis 6, find the first term.(c) If the third term of an arithmetic sequence is 2 and the seventh term is14, find the sum of the first 20 terms.4. Find the sums:(a)7Xi=0i2(b)9Xi=4((i − 1)2+
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