Try this beautiful Problem based on Number Pattern from AMC 8 2020.
Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?
Number Pattern
Sequence
Visualization
AMC 8 2020 Problem 4
37
Try to see the three figures carefully
First hexagon has one dot and second hexagon has 7 dots. And the 3rd hexagon has dots.
Now, If we notice carefully , we have We have $h_{1}=1$ and $h_{n+1}=h_{n}+6 n$.where, $h_{n}$ denote the number of dots in the $n$th hexagon.
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.
Cheenta students shine at the Purple Comet Math Meet 2025 organized by Titu Andreescu and Jonathan Kanewith top national and global ranks.
Celebrate the success of Cheenta students in the Stanford Math Tournament. The Unified Vectors team achieved Top 20 in the Team Round.