Find the sum of all positive integers less than 100, which:
are not divisible by 3.
Answer Please
Answers
First , let us say all positive integers would be ranging from 1 to 99 since we are asked less than 100.
so their average : 1+99 / 2 = 50
since there are 99 numbers in total , their sum would be 50 × 99 = 4950
the sum of all numbers from 1 to 99 is 4950
Now , considering the multiples of three that are
ranging from 3 to 99 , average is 3+99/2 = 51
and there are 33 such numbers that are divisible by 3 from 3 to 99
[ since 3×33 = 99 ]
now the sum of all numbers that are divisible by 3 is 51×22 = 1122
now, 4950 - 1122 = 3828
your answer is 3828 .
Please mark as brainliest
Answer:
Search it up! Search in google "the sum of all positive integers less than 100, which:
are not divisible by 3." and it wil give you videos of the answers! Make me brainliest! :3 (I need to level up...)
Step-by-step explanation: