Number & Letter Series
0/10 problems solved
Formulas & 30-Second Shortcut Tricks
Formulas
- Check differences first, then differences of differences
- Multiplicative: ×2, ×3, ×n+1 patterns
- Squares/cubes ± k: 1,4,9,16 … / 1,8,27,64 …
- Alternating series: split odd/even positions into two series
Shortcuts
- Fast growth ⇒ multiplication or powers; slow steady growth ⇒ addition.
- Letter series: convert letters to numbers using EJOTY.
Practice problems
Q1
Find the next term: 5, 8, 11, 14, 17, ?
Q2
Find the next term: 3, 6, 12, 24, 48, ?
Q3
Find the next term: 4, 7, 12, 19, 28, ?
Q4
Find the next letter: C, E, G, I, ?
Q5
Find the next term: 4, 9, 14, 19, 24, ?
Q6
Find the next term: 3, 9, 27, 81, 243, ?
Q7
Find the next term: 3, 6, 11, 18, 27, ?
Q8
Find the next letter: J, M, P, S, ?
Q9
Find the next term: 4, 13, 22, 31, 40, ?
Q10
Find the next term: 1, 3, 9, 27, 81, ?
Number & Letter Series Speed Test
1 minute per question. Use the palette to jump around; you'll see time spent on every question at the end.