Expression 12: 3 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, "i" , Baseline Over "i" , EndFraction sine left parenthesis, "i" "x" , right parenthesis3+2π100∑i=1−1iisinix
12
Expression 13: 3 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, "i" , Baseline Over "i" , EndFraction cosine left parenthesis, "i" "x" , right parenthesis3+2π100∑i=1−1iicosix
13
Expression 14: 3 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, 1 Over "i" , EndFraction sine left parenthesis, "i" "x" plus StartFraction, pi Over 4 , EndFraction , right parenthesis3+2π100∑i=11isinix+π4
14
Expression 15: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, 1 Over 2 "i" , EndFraction sine left parenthesis, 2 "i" "x" , right parenthesis6+2π100∑i=112isin2ix
15
Expression 16: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, 1 Over 2 "i" , EndFraction cosine left parenthesis, 2 "i" "x" , right parenthesis6+2π100∑i=112icos2ix
16
Expression 17: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 0 to 100, end sum, StartFraction, 1 Over 2 "i" plus 1 , EndFraction sine left parenthesis, left parenthesis, 2 "i" plus 1 , right parenthesis "x" , right parenthesis6+2π100∑i=012i+1sin2i+1x
17
Expression 18: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 0 to 100, end sum, StartFraction, 1 Over 2 "i" plus 1 , EndFraction cosine left parenthesis, left parenthesis, 2 "i" plus 1 , right parenthesis "x" , right parenthesis6+2π100∑i=012i+1cos2i+1x
18
Expression 19: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 100, end sum, StartFraction, 1 Over 2 "i" , EndFraction sine left parenthesis, 2 "i" "x" plus StartFraction, pi Over 4 , EndFraction , right parenthesis6+2π100∑i=112isin2ix+π4
19
Expression 20: 6 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 0 to 100, end sum, StartFraction, 1 Over 2 "i" plus 1 , EndFraction sine left parenthesis, left parenthesis, 2 "i" plus 1 , right parenthesis "x" plus StartFraction, pi Over 4 , EndFraction , right parenthesis6+2π100∑i=012i+1sin2i+1x+π4
20
Expression 21: 9 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 1 to 30, end sum, StartFraction, 1 Over 2 "i" , EndFraction sine left parenthesis, 2 "i" "x" plus "a" pi , right parenthesis9+2π30∑i=112isin2ix+aπ
21
Expression 22: 9 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 0 to 30, end sum, StartFraction, 1 Over 2 "i" plus 1 , EndFraction sine left parenthesis, left parenthesis, 2 "i" plus 1 , right parenthesis "x" plus "a" pi , right parenthesis9+2π30∑i=012i+1sin2i+1x+aπ
22
Expression 23: "a" equals 0a=0
00
11
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Expression 24: 9 plus StartFraction, 2 Over pi , EndFraction Start sum from "i" equals 0 to 30, end sum, StartFraction, 1 Over 2 "i" plus 1 , EndFraction sine left parenthesis, left parenthesis, 2 "i" plus 1 , right parenthesis left parenthesis, "x" plus "a" , right parenthesis , right parenthesis9+2π30∑i=012i+1sin2i+1x+a
