Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667
according to given conditions the sequence is 3, 9, 15, 21….999
Given an AP whose first term is 3 and d is 6. Hence sum is given by
To prove: the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667
Hence the sum is given by the formula
Now for the finding number of terms, the formula is
n = 167
Substituting n is the sum formula we get
s = 83667
Hence, Proved.