Numbers Questions

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

What is the largest 4 digit number that is exactly divisible by 93?

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

Of the 3 numbers whose average is 64, the first number is 1/3 times the sum of other 2. The first number is

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

Find the missing number?

What least number must be added to 213, so that the sum is completely divisible by 9?