Question

30,56,132,182,_____
(a) 306
(b) 307
(c) 308
(d) 309​

Answer 1

A is the correct answer

pattern is 6square -6 ,8square -8,12square -12,14square-14,18 square -18

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Answer 2

a) The answer is 306.

Step-by-step explanation:

The given series is $30, 56, 132, 182, _$

Finding the pattern observed in the given series:

• 30 = $6^2 - 6$
• 56 = $8^2 - 8$
• 132 = $12^2 - 12$
• 56 = $14^2 - 14$

On careful observation, we can conclude that

• the numbers in the series are even numbers. Thus, options b) and d) cannot be the answers.
• after the first two numbers(6, 8), the third number(12) is not the consecutive even number

Thus, the next number in the series would be denoted by $18^2 - 18 = 324 -18 = 306$

Hence, the answer is a) 306