Explain using algebra, the fact that the square of any.natural number which is not a muitiple of 3 , leaves remainder 1 on division: by 3 .

Write the algebraic expression for the given sequence: Sequence of natural numbers which leave remainder 1 on division by 3.

How many three-digit numbers are there, which leave a remainder 3 on division by 7 ?

Write the sequence of numbers which leave the remainder 1 on dividing by 4.

Write the sequence of numbers which leaves the remainder 3 on dividing by 5 and 10.

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder

Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder

Write the algebraic expression for each of the sequences below: i) Sequence of odd numbers ii) Sequence of natural numbers which leave remainder 1 on division by 3. iii)The sequence of natural numbers ending in 1. iv)The sequence of natural numbers ending in 1 or 6.

Write down the sequences of natural numbers leaving remainder 1 on division by 3 and the sequence of natural numbers leaving remainder 2 on division by 3 .

The sum of all two digit natural numbers which leave a remainder 5 when they are divided by 7 is equal to

Find the sum of all three digit numbers which leave the remainder 1 when divided by 4 .