Q1 of 239 Page 54

Complete the following patterns:

1, 8, 27, 64, ___, ___, ___.

1, 8, 27, 64, ___, ___, ___.

Here, the terms are cubes of natural numbers.


⇒ The next three terms are: 53 = 125


63 = 216


73 = 343


∴ The pattern is 1, 8, 27, 64, 125, 216, 343.


More from this chapter

All 239 →
1

Complete the following patterns:

1, 3, 6, 10, ___, ___, ___.

 1

Complete the following patterns:

1, 1, 2, 3, 5, 8, 13, 21, ___, ___, ___


(This sequence is called FIBONACCI SEQUENCE)

 2

A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.

A. He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?



B. After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

 3

A vendor arranged his apples as in the following pattern:

A. If there are ten rows of apples, can you find the total number of apples without actually counting?


B. If there are twenty rows, how many apples will be there in all?



Can you recognize a pattern for the total number of apples? Fill this chart and try!