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Numeric Patterns and Sequences Quiz

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#1

What is the next number in the sequence: 2, 5, 10, 17, ...?

26
Explanation

Adding consecutive prime numbers.

#2

What is the missing number in the sequence: 3, 6, 12, __, 48?

36
Explanation

Each number is doubled.

#3

What is the next number in the sequence: 4, 7, 11, 16, ...?

22
Explanation

Adding consecutive prime numbers.

#4

What is the missing number in the sequence: 2, 4, 8, __, 32?

16
Explanation

Each number is doubled.

#5

What is the next number in the sequence: 1, 4, 9, 16, ...?

25
Explanation

Squaring consecutive natural numbers.

#6

What is the missing number in the sequence: 3, 6, 12, __, 30?

24
Explanation

Each number is doubled.

#7

What is the common difference in the arithmetic sequence: 7, 12, 17, 22, ...?

5
Explanation

Adding 5 to each term.

#8

What is the nth term of the geometric sequence: 3, 6, 12, 24, ...?

2^(n-1)
Explanation

Each term is doubled.

#9

What is the next number in the Fibonacci sequence: 1, 1, 2, 3, 5, 8, ...?

13
Explanation

Sum of previous two numbers.

#10

What is the missing number in the sequence: 4, 9, __, 25, 36?

16
Explanation

Each number is squared.

#11

What is the common ratio in the geometric sequence: 3, 9, 27, 81, ...?

3
Explanation

Multiplying by 3 each time.

#12

What is the nth term of the sequence: 2, 4, 8, 16, ...?

2^n
Explanation

Each term is doubled.

#13

What is the sum of the first 20 terms of the sequence: 1, 3, 5, 7, ...?

600
Explanation

Sum of odd numbers.

#14

What is the 10th term in the series: 2, 4, 8, 16, ...?

1024
Explanation

Each term is doubled.

#15

What is the sum of the first 10 terms of the series: 1, 4, 9, 16, ...?

330
Explanation

Sum of squares of natural numbers.

#16

What is the 5th term in the series: 81, 27, 9, 3, ...?

0.75
Explanation

Dividing each term by 3.

#17

What is the sum of the first 15 terms of the sequence: 1, 2, 4, 8, ...?

131070
Explanation

Sum of powers of 2.

#18

What is the sum of the first 10 terms of the sequence: 3, 6, 12, 24, ...?

49152
Explanation

Multiplying by 2 each time.

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