High School

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------------------------------------------------ What number is the next term in the number pattern?

2/5, 3/10, 6/15, 11/20, _____

A. 18/25
B. 14/20
C. 18/20
D. 14/25

Answer :

The next term in the sequence is 18/25. Therefore, the correct option is:

O 18/25. Therefore, option O 18/25 is correct.

To identify the pattern in the given sequence, let's examine the numerators and denominators separately:

Numerators: 2, 3, 6, 11

Denominators: 5, 10, 15, 20

The numerators are increasing by consecutive prime numbers (1, 2, 3, 5), and the denominators are increasing by consecutive multiples of 5 (5, 25, 35, 4*5).

Following this pattern, the next terms would be:

Numerator: 11 + 7 = 18

Denominator: 20 + 5 = 25

So, the next term in the sequence is 18/25. Therefore, the correct option is:

O 18/25