Can you describe the pattern in each of the above sequences? Can you predict the next few numbers Class 9

Can you describe the pattern in each of the above sequences? Can you predict the next few numbers Class 9

Question 1.

Can you describe the pattern in each of the above sequences? Can you predict the next few numbers in these sequences? Class 9

Answer:

Natural numbers

Pattern: Each number is one more than the previous one.

Next few numbers : 7, 8, 9, 10, 11...

Odd numbers

Pattern: Each number is two more than the previous one.

Next few numbers : 13, 15, 17, 19, 21... Triangular numbers:

Pattern: Add consecutive natural numbers 1, 1 + 2 = 3, 3 + 3 = 6, 6 + 4 = 10, 10 + 5 = 15, 15 + 6 = 21,...

Next few numbers : 28, 36, 45, 55, 66 ...

Square numbers:

Pattern : Square of natural numbers

Next few numbers : 49, 64, 81, 100, 121...