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i = 0 j = 1 sum = 0 arr =[] while(i < 10): sum = sum + j*( 1/(1 + i) ) arr +=[ j*( 1/(1 + i) )] i = i + 1 print i ,j , arr j = -j
1 1 [1] 2 -1 [1, -1/2] 3 1 [1, -1/2, 1/3] 4 -1 [1, -1/2, 1/3, -1/4] 5 1 [1, -1/2, 1/3, -1/4, 1/5] 6 -1 [1, -1/2, 1/3, -1/4, 1/5, -1/6] 7 1 [1, -1/2, 1/3, -1/4, 1/5, -1/6, 1/7] 8 -1 [1, -1/2, 1/3, -1/4, 1/5, -1/6, 1/7, -1/8] 9 1 [1, -1/2, 1/3, -1/4, 1/5, -1/6, 1/7, -1/8, 1/9] 10 -1 [1, -1/2, 1/3, -1/4, 1/5, -1/6, 1/7, -1/8, 1/9, -1/10]
i = 0 j = 0 while(i < 10): i=i+1 a = 1/i j = a + j print i , a, j
1 1 1 2 1/2 3/2 3 1/3 11/6 4 1/4 25/12 5 1/5 137/60 6 1/6 49/20 7 1/7 363/140 8 1/8 761/280 9 1/9 7129/2520 10 1/10 7381/2520
i = 0 j = 0 while(i < 10): i=i+1 j = 1/i + j print i , j
1 1 2 3/2 3 11/6 4 25/12 5 137/60 6 49/20 7 363/140 8 761/280 9 7129/2520 10 7381/2520
i = 0 j = 1 sum = 0 arr =[] while(i < 10): j = -j sum = sum + j*( 1/(1 + i) ) arr +=[ j*( 1/(1 + i) )] i = i + 1 print i ,j , arr
1 -1 [-1] 2 1 [-1, 1/2] 3 -1 [-1, 1/2, -1/3] 4 1 [-1, 1/2, -1/3, 1/4] 5 -1 [-1, 1/2, -1/3, 1/4, -1/5] 6 1 [-1, 1/2, -1/3, 1/4, -1/5, 1/6] 7 -1 [-1, 1/2, -1/3, 1/4, -1/5, 1/6, -1/7] 8 1 [-1, 1/2, -1/3, 1/4, -1/5, 1/6, -1/7, 1/8] 9 -1 [-1, 1/2, -1/3, 1/4, -1/5, 1/6, -1/7, 1/8, -1/9] 10 1 [-1, 1/2, -1/3, 1/4, -1/5, 1/6, -1/7, 1/8, -1/9, 1/10]
i = 0 j = 0 check = 1 while(i < 10): check = check*-1 i=i+1 j = 1/i*check + j print i , j
1 -1 2 -1/2 3 -5/6 4 -7/12 5 -47/60 6 -37/60 7 -319/420 8 -533/840 9 -1879/2520 10 -1627/2520
i = 0 j = 0 check = 1 while(i < 10): i=i+1 j = 1/i*check + j check = check*-1 print i , j
1 1 2 1/2 3 5/6 4 7/12 5 47/60 6 37/60 7 319/420 8 533/840 9 1879/2520 10 1627/2520
sum = 0 for i in range(1,11): sum = sum + 1/i print i , sum
1 1 2 3/2 3 11/6 4 25/12 5 137/60 6 49/20 7 363/140 8 761/280 9 7129/2520 10 7381/2520
sum = 0 for i in range(1,11): sum = sum + 1/i*(-1)^i print i , sum
1 -1 2 -1/2 3 -5/6 4 -7/12 5 -47/60 6 -37/60 7 -319/420 8 -533/840 9 -1879/2520 10 -1627/2520
sum = 0 for i in range(1,11): sum = sum + 1/i*(-1)^(i+1) print i , sum
1 1 2 1/2 3 5/6 4 7/12 5 47/60 6 37/60 7 319/420 8 533/840 9 1879/2520 10 1627/2520
L = [1,2,3,4,5,6,7,8,9,10] want = 0 for i in range(0,len(L)): want += L[i] want/len(L)
11/2