Why this topic matters · 7 min read
Series questions are among the most frequently asked in Agniveer Army Reasoning section. You can expect 3 to 5 questions every attempt. Questions test number series, alphabet series, and mixed series. Difficulty is moderate — with the right pattern-spotting habits, these are free marks. Speed matters: target under 45 seconds per question.
Number Series — Types and Patterns
A number series is a sequence where numbers follow a hidden rule. Your job is to find the rule and either find the missing term or the wrong term. Most Agniveer series follow simple arithmetic or geometric rules. Rarely will you see complex multi-level patterns — keep it simple first.
- Arithmetic series: each term increases or decreases by a fixed number. Example: 3, 7, 11, 15 — difference is always 4.
- Geometric series: each term is multiplied or divided by a fixed number. Example: 2, 6, 18, 54 — multiply by 3.
- Square or cube series: terms are squares or cubes of natural numbers. Example: 1, 4, 9, 16, 25.
- Difference series: the differences between terms form their own pattern. Example: 2, 3, 5, 8, 12 — differences are 1, 2, 3, 4.
- Mixed series: alternate terms follow different rules. Always check odd-positioned and even-positioned terms separately.
- Wrong term series: one number breaks the pattern — find it and mark it.
Key formulas
Nth term of Arithmetic series
Tn = a + (n-1) x d
When: Use when series has constant difference. a = first term, d = common difference, n = position.
Nth term of Geometric series
Tn = a x r^(n-1)
When: Use when each term is multiplied by same number r. a = first term, r = common ratio.
Worked examples
Series: 5, 10, 20, 40, __ . Check: 5x2=10, 10x2=20, 20x2=40, so next = 40x2 = 80. Answer: 80.
Series: 1, 4, 9, 16, __, 36. Check: 1sq, 2sq, 3sq, 4sq, 5sq=25, 6sq=36. Missing term = 25.
Alphabet Series — Letter Patterns
Alphabet series uses positions of letters A to Z (A=1, B=2 ... Z=26). The trick is to quickly see how many steps forward or backward each letter jumps. Agniveer often gives 3 to 4 letter groups and asks the next group. Think of the alphabet as a number line and count jumps.
- Memorize: A=1, E=5, J=10, O=15, T=20, Z=26. Use these anchors to count fast.
- Forward jump series: ADF, GJL — check gap between letters inside each group and between groups.
- Reverse series: letters go backward. Z, X, V, T — gap of 2 going left.
- Skipping letters: AC, EG, IK — skip one letter each time.
- Opposite letter trick: A and Z are opposites (1+26=27), B and Y (2+25=27). Useful when series mixes ends.
- Always write letter positions as numbers if you feel stuck — converts alphabet problem to number problem.
Mixed and Alpha-Numeric Series
Some series combine numbers and letters or symbols. Example: A2, C4, E6, G8 — letters skip one, numbers add 2. These look scary but follow the same logic. Break the series into parts: handle letters separately, numbers separately. Then combine the pattern.
- Split the series: treat letters as one mini-series, numbers as another.
- Identify the rule for each part independently.
- Common pattern: letter jumps by 2, number increases by 3 — simple combination.
- In Agniveer papers, mixed series difficulty is low to medium — do not overthink.
- If you see symbols like *, #, @ in series — treat them as placeholders following a rotation cycle.
Wrong Term in Series
Sometimes the question gives a complete series but one term is wrong. You must identify which term does not fit. Strategy: find the correct pattern using the majority of terms, then check which single term breaks it. Do not change your identified pattern just because one term seems off — trust the majority.
- Check at least 3 consecutive terms to confirm your pattern before labelling a term as wrong.
- Wrong term questions often appear in Agniveer as a 5-term series with one odd one out.
- Common trap: the wrong term is placed in the middle, not at the end — stay alert.
- Once you spot the rule, calculate what the correct value should be — that confirms the wrong term.
Worked example
Series: 2, 6, 12, 20, 30, 40, 56. Rule is n x (n+1): 1x2=2, 2x3=6, 3x4=12, 4x5=20, 5x6=30, 6x7=42 not 40. Wrong term is 40.
⚠ Common mistakes to avoid
- Jumping to geometric or complex patterns without first checking simple addition or subtraction — always try arithmetic first.
- In alphabet series, losing count of letter positions. Avoid this by memorizing anchor letters: E=5, J=10, O=15, T=20.
- In alternate series, applying one single rule to all terms instead of checking odd and even positions separately.
- Marking the last term as wrong in wrong-term questions without checking all terms — the wrong term can be anywhere.
- Wasting time on a hard series. If a series is taking more than 60 seconds, skip and return — never let one question eat your time in Reasoning.
🧠 Memory aids
- AGED mnemonic for series types: Arithmetic, Geometric, Exponential (square/cube), Difference of differences. Check in this order.
- Anchor alphabet trick — EJOT club: E=5, J=10, O=15, T=20. Count from nearest anchor to find any letter position fast.
- Think of series like a staircase: Arithmetic = equal steps up, Geometric = steps that double, Difference = steps that grow. Visualize the shape.
- Opposite letter formula: A+Z = B+Y = any pair of opposites = 27. Use this for mirror/reverse alphabet series instantly.
🎯 AGNIVEER ARMY exam tips
- Agniveer Army papers consistently ask 3 to 5 series questions. Number series and alphabet series appear almost every time. Mixed series appears occasionally.
- Most number series in Agniveer are straightforward — differences of 2, 3, 5, or multiples like x2, x3. Rarely will you see two-level difference series at this level.
- Wrong term series has appeared in recent Agniveer papers. Tip: they usually give 6 or 7 terms with one error — do not rush, verify your pattern with at least 3 terms.
- Alphabet series questions are fast marks — practice letter-position recall until it is automatic. A student who recalls A=1 to Z=26 in under 10 seconds gains a huge speed edge.
- Time management: target easy series in 20 to 30 seconds, tough series in under 60 seconds. If not solved in 60 seconds, move on and return at the end.
Q1 · medium · AI-verified
Find the missing number in the series: 2, 6, 18, 54, ?
- 162
- 108
- 216
- 324
Q2 · medium · AI-verified
Find the next number: 10, 20, 40, 80, ?
- 160
- 120
- 200
- 140
Q3 · medium · AI-verified
What is the missing number: 1, 1, 2, 3, 5, 8, ?
- 13
- 11
- 15
- 10
Q4 · medium · AI-verified
What comes next: 15, 30, 60, 120, ?
- 240
- 180
- 300
- 200
Q5 · medium · AI-verified
Complete the series: 11, 13, 17, 19, 23, ?
- 29
- 25
- 27
- 31