Understanding n-th Term of a Sequence
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Beginner
Start here! Easy to understand
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Beginner Explanation
In an arithmetic sequence, each term is obtained by adding a constant difference d to the previous term. The formula is $a_n = a_1 + (n-1)d$. For example, if $a_1=3$ and $d=2$, then $a_4 = 3 + 3\times2 = 9$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the 3rd term in the sequence where $a_n = 2^n$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You save twice the amount of money each week. If you start with $10, what is your savings in the 4th week?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
If a sequence is defined as $a_n = n^2 + 1$, what is the value of $a_5$?
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4
Challenge Quiz
Single Choice Quiz
Advanced
For a sequence defined by $a_n = 3^n + 2$, what is $a_4$?
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