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Mixed Series - Intermediate-Advanced Level: complex sequences INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for mixed series: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: complex sequences. Develop expertise in pattern recognition, alternating series, complex sequences with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Mixed Series
Worksheet 19 of 30 (63% complete)

Question 1

Find the next item in the series: L, 64, V, 256, J, ?
Alternating powers of 4 (4^3=64, 4^4=256, ...) and corresponding letters. Next is 1024
power, exponential, letters

Question 2

Find the next item in the series: 5, F, 7, H, 9, J, ?
Alternating between letters and their positions in alphabet (A=1, B=2, ...). Letters advance by 3 each time. Next is 11
alphabet, position

Question 3

Find the next item in the series: A, 3, E, 8, I, 13, ?
Numbers increase by 5, vowels cycle through A-E-I-O-U pattern. Next is O
arithmetic, vowels

Question 4

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

Question 5

Find the next item in the series: 37, M, 41, L, 43, K, ?
Alternating prime numbers and consonants. Next is 47
primes, consonants

Question 6

Find the next item in the series: 9, H, 11, L, 13, P, ?
Alternating series: numbers follow increasing by 2 pattern, letters follow forward by 4 pattern. Next number is 15
alternating, basic

Question 7

Find the next item in the series: 2, C, 4, E, 8, I, ?
Numbers multiply by 2, letters advance by 3. Next is 16
geometric, alphabet

Question 8

Find the next item in the series: 3, E, 8, G, ?
Fibonacci sequence (3, 5, ...) with position-based letters. Next Fibonacci number is 21, so answer is 21
fibonacci, letters

Question 9

Find the next item in the series: 2, R, 7, T, 12, V, ?
Alternating series: numbers follow Fibonacci-style (2, 5, ...) pattern, letters follow forward by 2 pattern. Next number is 19
alternating, basic

Question 10

Find the next item in the series: C, 4, E, 6, G, ?
Alternating between letters and their positions in alphabet (A=1, B=2, ...). Letters advance by 3 each time. Next is 8
alphabet, position

Question 11

Find the next item in the series: C, 5, H, 13, ?
Fibonacci sequence (3, 5, ...) with alternating numbers/letters. Next Fibonacci number is 21, so answer is U
fibonacci, letters

Question 12

Find the next item in the series: 4, J, 12, K, 36, L, ?
Alternating series: numbers follow multiplying by 3 pattern, letters follow forward by 1 pattern. Next number is 108
alternating, basic

Question 13

Find the next item in the series: 3, C, 9, I, 27, ?
Alternating powers of 3 (3^1=3, 3^2=9, ...) and corresponding letters. Next is A
power, exponential, letters

Question 14

Find the next item in the series: 64, D, 125, E, 216, F, 343, ?
Alternating perfect cubes (starting from 4³=64) and corresponding letters. Next is G
cubes, letters

Question 15

Find the next item in the series: 2, I, 6, O, 24, ?
Alternating factorial numbers (2, 6, ...) and vowels in forward order. Next is U
factorial, vowels

Question 16

Find the next item in the series: G, 5, I, 20, K, 80, ?
Numbers multiply by 4, letters advance by 2. Next is M
geometric, alphabet

Question 17

Find the next item in the series: A, 1, B, 4, C, 9, D, 16, ?
Alternating perfect squares (starting from 1²=1) and corresponding letters. Next is E
squares, letters

Question 18

Find the next item in the series: 3, C, 9, I, 27, A, 81, ?
Alternating powers of 3 (3^1=3, 3^2=9, ...) and corresponding letters. Next is C
power, exponential, letters

Question 19

Find the next item in the series: 11, B, 13, C, 17, D, ?
Alternating prime numbers and consonants. Next is 19
primes, consonants

Question 20

Find the next item in the series: 8, A, 11, E, 14, I, ?
Numbers increase by 3, vowels cycle through A-E-I-O-U pattern. Next is 17
arithmetic, vowels
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