Algebraic Expression as Patterns

Q.

The pattern formed by all odd numbers is correctly represented by the expression ______.

1. None of above

2. $2n+1$

3. $2(n+1)$

4. $2n$

Q.

Match the following figures according to the number of matchsticks required to make them.

1. 1-a; 2-b; 3-c

2. 1-a; 2-d; 3-c

3. 1-c; 2-b; 3-a

4. 1-c; 2-a; 3-d

Q.

Observe the pattern given below,

The sum of terms up to $n^{th}$ position will be given by the expression:

1. $\frac{n(n+1)}{2}$

2. $\frac{n(n-1)}{2}$

3. $n(n-1)$

4. $n^2$

Q. The number of matchsticks required to make the given pattern can be given by $4n+1.$

1. False
2. True

Q. The number of matchsticks required to make the given pattern can be given by (5n + 1).

1. False
2. True

Q. The pattern formed by all even numbers is represented by the expression

1. 2n + 1
2. 2n - 1
3. n
4. 2n

Q. The number of matchsticks required to make the given pattern can be given by (2n + 1).

1. True
2. False

Q. Which of the following numbers can be the terms of the pattern 1, 3, 5, 7, ....?

1. 8
2. 9
3. 10
4. 11
5. 12
6. 14
7. 15
8. 16
9. 17
10. 19

Q.

The $n^{th}$ term of the pattern 1, 4, 9, 16, 25...... is _____.

1. n+5

2. n+3

3. n(n-1)

4. $n^2$

Q. The expression represents the pattern 1, 5, 9, 13, 17, ..... perfectly.

1. 3n - 3
2. 3n - 2
3. 4n - 2
4. 4n - 3

Q.

Observe the pattern given below.

What is the general expression for this pattern?

1. $\frac{n(n+1)}{2}$

2. $\frac{n(n-1)}{2}$

3. $n\ast (n-1)$

4. $n^2$