Patterns in Square Numbers

Find the next term in the series $49,4489,44448889,....$

The next term of the series is $1,121,12321,....$is $1234321$

Find the next number in the series: $1,121,12321,...$

$15$ is a triangular number.

Identify the triangular number among the given numbers: $5,11,21,25,30$

Without actual addition, find the sum of the following.

$1+3+5+7+9+11+13+15+17+19$

Without actual addition, find the sum of the following.

$1+3+5+7+9+11+13+15$

Without actual addition, find the sum of the following.

$1+3+5+7+9+11+13$

Find the sum without actually adding the following odd numbers: $1+3+5+7+\dots \dots +35$

Find the sum without actually adding the first $99$ odd natural numbers.

How many numbers are there between squares of the following numbers?

$30$ and $31$

Find the number of integers between $9^2$ and ${10}^2$.

Find the square numbers that we will get if we add the following terms of triangular numbers.
$1^{\mathrm{st}}$and $2^{\mathrm{nd}}$ terms of the triangular numbers.

Find the square number that we will get if we add the $2^{\mathrm{nd}}$ and $3^{\mathrm{rd}}$ terms of the triangular numbers.

Find out the square number that we will get if we add following number of the triangular series.
term 4 and 5.

How many numbers are there between the squares of the following?
$4^2$ and $5^2$.

Find the sum of the first five consecutive odd numbers.

Find the sum of the following without actually adding.
$1+3+5$

The sum of first 10 odd numbers is?

The value of ${111111}^2$ ?