Visual Sequence Problem: Finding Square Count in 8th Element

Below is a sequence represented by squares. How many squares will there be in the 8th element?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the 8th term
00:04 Let's count the squares in each term
00:25 We can see that the number of squares equals the term's position squared
00:36 Therefore we can conclude this is the sequence formula
00:42 Let's substitute the corresponding term position and calculate
00:47 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Below is a sequence represented by squares. How many squares will there be in the 8th element?

2

Step-by-step solution

It is apparent, that for each successive number, a square is added in length and one in width.

Hence, the rule using the variable n is:

a(n)=n2 a(n)=n^2

Therefore, the eighth term will be:

n2=8×8=16 n^2=8\times8=16

3

Final Answer

64 64

Practice Quiz

Test your knowledge with interactive questions

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Series questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Series / Sequences

Geometric Square Sequence: Finding the 46-Square Structure Pattern
Click to solve
Finding the 49-Square Structure in a Geometric Sequence
Click to solve