To find the sum of S1, we use the formula for the sum of an arithmetic series:
S1 = n/2 firstterm+lasttermfirst term + last termfirstterm+lastterm S1 = 99/2 1+991 + 991+99 S1 = 4950
To find the sum of S2, we first find the number of terms in the series:
99 = 3 + n−1n-1n−1 * 399 = 3nn = 33
Next, we use the formula for the sum of an arithmetic series again:
S2 = n/2 firstterm+lasttermfirst term + last termfirstterm+lastterm S2 = 33/2 3+993 + 993+99 S2 = 33/2 * 102S2 = 1683
Therefore, s = S1 - S2 = 4950 - 1683 = 3267.
To find the sum of S1, we use the formula for the sum of an arithmetic series:
S1 = n/2 firstterm+lasttermfirst term + last termfirstterm+lastterm S1 = 99/2 1+991 + 991+99 S1 = 4950
To find the sum of S2, we first find the number of terms in the series:
99 = 3 + n−1n-1n−1 * 3
99 = 3n
n = 33
Next, we use the formula for the sum of an arithmetic series again:
S2 = n/2 firstterm+lasttermfirst term + last termfirstterm+lastterm S2 = 33/2 3+993 + 993+99 S2 = 33/2 * 102
S2 = 1683
Therefore, s = S1 - S2 = 4950 - 1683 = 3267.