Sequence Explorer
1 The Constant Jump
An arithmetic sequence grows by adding the same number (the common difference, ) every time.
Sequence: {{ s1_sequence.join(', ') }}{{ s1_currentN < 5 ? ', ...' : '' }}
2 Pattern Detective
Identify the first term () and the common difference () of this sequence.
{{ num }}
...
First Term ()
{{ s2_a1 }}
?
Difference ()
{{ s2_d > 0 ? '+'+s2_d : s2_d }}
?
Drag to identify
{{ opt.val > 0 && opt.isD ? '+'+opt.val : opt.val }}
3 The Formula Machine
To find any term , start at and add exactly times.
Target: Find the {{ s3_target_n }}{{ s3_target_n === 1 ? 'st' : s3_target_n === 2 ? 'nd' : s3_target_n === 3 ? 'rd' : 'th' }} term
Slide to explore
Start + (Jumps) × Difference = Value
n=1
n=12
4 Build the Formula
Find the {{ s4_n }}th term of the sequence: {{ s4_a1 }}, {{ s4_a1+s4_d }}, {{ s4_a1+2*s4_d }}, ...
+ (
- 1 ) ×
= {{ s4_finalValue }}
Tap to build
🏆
Master of Sequences!
You've learned how arithmetic sequences grow and how to find any term using the formula.