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A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.


1, 8, 21, 40, ?

  • a)
    24

  • b)
    48

  • c)
    144

  • d)
    65

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A series is given with one term missing. Select the correct alternativ...
The followed pattern is:
First number = 1
(1 × 3) – 2 = 1
(1 × 6) – 4 = 2
(2 × 9) – 6 = 12
(12 × 12) – 8 = 136
Hence, 136 is the missing term.
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Most Upvoted Answer
A series is given with one term missing. Select the correct alternativ...
The followed pattern is:

First number = 1

(1 × 3) – 2 = 1

(2 × 6) – 4 = 8

(3 × 9) – 6 = 21

(4 × 12) – 8 = 40

(5 x 15) – 10 = 65 

Hence, 65 is the missing term.
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Community Answer
A series is given with one term missing. Select the correct alternativ...
Given series: 1, 1, 2, 12, ?

The given series does not appear to follow a simple arithmetic or geometric pattern. However, we can analyze the given terms to identify a pattern and find the missing term.

Step 1: Analyzing the given terms
- The first term is 1.
- The second term is also 1.
- The third term is 2, which is the product of the first two terms (1 * 1).
- The fourth term is 12, which is the product of the second and third terms (1 * 2 * 6).

Step 2: Identifying the pattern
From the analysis of the given terms, we can observe that each term is obtained by multiplying the previous terms in a specific pattern. The pattern can be described as follows:
- The first term is 1.
- The second term is also 1.
- The nth term is the product of the previous n-1 terms.

Step 3: Applying the pattern to find the missing term
We can apply the identified pattern to find the missing term. Let's use the given terms to calculate the missing term.

- The first term is 1.
- The second term is also 1.
- The third term is the product of the first two terms (1 * 1) = 1.
- The fourth term is the product of the second and third terms (1 * 1 * 2) = 2.
- The fifth term is the product of the third and fourth terms (1 * 1 * 2 * 12) = 24.

Therefore, the missing term in the given series is 24.

Conclusion:
The missing term in the series 1, 1, 2, 12, ? is 24.
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