Patterns in Mathematics

Identify the number sequence.

1, 3, 6, 10, 15,...

• cubes

• squares

• triangular numbers

• virahanka number

which of the following shows power of 2?

• 1, 3, 5, 7, ...

• 2, 4, 6, 8, 10,...

• 1, 4, 9, 16, 25,...

• 1, 2, 4, 8, 16,..

Which of the following represents the Fibonacci sequence?

• 1, 2, 3, 5, 8, 12,...

• 1, 1, 2, 3, 5, 8,...

• 1, 4, 7, 10, 13,...

• 2, 3, 5, 7, 11,...

What will come next in the sequence; 1, 3, 9, 27, 81, _______

• 100

• 124

• 224

• 243

Identify the sequence shown below.

• even numbers

• square numbers

• triangular numbers

• cubes

Why 1, 8, 27, 64, 125, .... is called cubes?

• obtained by adding the previous 2 numbers

• obtained by multiplying the number by itself two times

• because each number can be represented by a cube

• because each number can be represented by a cube

What does the given picture show?

• squares

• power of 2

• cubes

• power of 3

What happens when we start adding up odd numbers?

1, 1+3, 1+3+5, 1+3+5+7, .....

• we get square numbers

• we get triangular numbers

• we get cube

• we get hexagonal numbers

What happens when you add up pairs of consecutive triangular numbers?

That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15, … Which sequence do you get?

• power of 2

• power of 3

• square numbers

• triangular numbers

Find the sum: 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1

• 1000

• 9999

• 19999

• 10000