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Mixed Series - Intermediate Level: alternating series INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level mixed series problems. Worksheet 18 of 30 emphasizes alternating series. Master mixed character series, pattern recognition, alternating series through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Mixed Series
Worksheet 18 of 30 (60% complete)

Question 1

Find the next item in the series: 9, C, 16, D, 25, ?
Alternating perfect squares (starting from 3²=9) and corresponding letters. Next is E
squares, letters

Question 2

Find the next item in the series: 25, G, 36, I, 49, K, ?
Alternating perfect squares (starting from 5²=25) and position-based letters. Next is 64
squares, letters

Question 3

Find the next item in the series: 13, N, 15, P, 17, R, ?
Alternating between letters and their positions in alphabet (A=1, B=2, ...). Letters advance by 3 each time. Next is 19
alphabet, position

Question 4

Find the next item in the series: 61, M, 67, N, ?
Alternating prime numbers and consonants. Next is 71
primes, consonants

Question 5

Find the next item in the series: 24, A, 120, U, ?
Alternating factorial numbers (24, 120, ...) and vowels in reverse order. Next is 720
factorial, vowels

Question 6

Find the next item in the series: 2, I, 8, K, 32, M, ?
Numbers multiply by 4, letters advance by 2. Next is 128
geometric, alphabet

Question 7

Find the next item in the series: 8, G, 21, I, ?
Fibonacci sequence (8, 13, ...) with position-based letters. Next Fibonacci number is 55, so answer is 55
fibonacci, letters

Question 8

Find the next item in the series: 1, A, 8, B, 27, C, ?
Alternating perfect cubes (starting from 1³=1) and corresponding letters. Next is 64
cubes, letters

Question 9

Find the next item in the series: 64, D, 125, E, 216, ?
Alternating perfect cubes (starting from 4³=64) and corresponding letters. Next is F
cubes, letters

Question 10

Find the next item in the series: A, 1, B, 8, C, 27, ?
Alternating perfect cubes (starting from 1³=1) and corresponding letters. Next is D
cubes, letters

Question 11

Find the next item in the series: 1, S, 5, U, 9, W, ?
Alternating series: numbers follow Fibonacci-style (1, 4, ...) pattern, letters follow forward by 2 pattern. Next number is 14
alternating, basic

Question 12

Find the next item in the series: A, 1, B, 3, E, ?
Fibonacci sequence (1, 1, ...) with alternating numbers/letters. Next Fibonacci number is 8, so answer is 8
fibonacci, letters

Question 13

Find the next item in the series: 4, R, 9, T, 16, V, ?
Alternating series: numbers follow squares of 2, 3, ... pattern, letters follow forward by 2 pattern. Next number is 25
alternating, basic

Question 14

Find the next item in the series: 9, B, 16, C, 25, D, 36, ?
Two independent patterns: numbers follow square progression, letters follow consonant-cycle pattern. Next letter is F
double, interleaved

Question 15

Find the next item in the series: 2, B, 4, D, 8, H, 16, ?
Alternating powers of 2 (2^1=2, 2^2=4, ...) and corresponding letters. Next is P
power, exponential, letters

Question 16

Find the next item in the series: 4, E, 8, I, 16, Q, ?
Numbers multiply by 2, letters advance by 2. Next is 32
geometric, alphabet

Question 17

Find the next item in the series: 9, E, 16, H, 25, K, ?
Alternating series: numbers follow squares of 3, 4, ... pattern, letters follow forward by 3 pattern. Next number is 36
alternating, basic

Question 18

Find the next item in the series: D, 64, E, 125, F, ?
Alternating perfect cubes (starting from 4³=64) and corresponding letters. Next is 216
cubes, letters

Question 19

Find the next item in the series: 16, P, 64, L, 256, ?
Alternating powers of 4 (4^2=16, 4^3=64, ...) and corresponding letters. Next is V
power, exponential, letters

Question 20

Find the next item in the series: 25, A, 36, E, 49, I, 64, ?
Two independent patterns: numbers follow square progression, letters follow vowel-cycle pattern. Next letter is O
double, interleaved
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