101 + 103 + 105 + ... + 995 + 997 + 999
This is an arithmetic sequence with t1 = 101 tn = 999 d = 2
We can use the formula: tn = t1 + (n - 1)d to find the number of terms:
---> 999 = 101 + (n - 1)2 ---> n = 450
We can use the formula: Sum = n(t1 + tn)/2 to find the sum of the terms:
---> Sum = 450(101 + 999)/2 ---> Sum = 247 500