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Q.

Find the missing term in the following series.
0, 4, 18, 48, ?, 180

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a

100

b

191

c

152

d

200

answer is A.

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Detailed Solution

Concept- The given series of terms can all be expressed in a general form. Simply break down each term and write it as a product of numbers. Therefore, the nth term in this series can be expressed as n square multiplied by its preceding number, i.e.

, where n-1 is the term that came before n. Find the missing number with this.
We are required to locate the missing number in the series of numbers 0, 4, 18, 48,?, and 180. Because it's a series, each term comes from a general source. Here is the general form's breakdown.
Initial term is 0.
Question Image

Question Image

Thus the required term is

.
Because the patterns in the preceding numbers have been noticed.

Hence, the correct answer is option 1.

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Find the missing term in the following series.0, 4, 18, 48, ?, 180