Question Details

Identify the missing term in this number pattern.

6, 11, 20, 37, 70, 135, ?

Options

A

271

B

254

C

259

D

269

E

264

Show Answer

Correct Answer :

Option E

264

Solution :

The correct answer is 264.

To identify the missing term in the sequence, we examine the relationship between consecutive numbers to discover the underlying mathematical pattern.

Let us analyze each transition step-by-step:

First to Second term:
Multiply the first number by 2 and subtract 1:
6×2-1=12-1=11

Second to Third term:
Multiply the second number by 2 and subtract 2:
11×2-2=22-2=20

Third to Fourth term:
Multiply the third number by 2 and subtract 3:
20×2-3=40-3=37

Fourth to Fifth term:
Multiply the fourth number by 2 and subtract 4:
37×2-4=74-4=70

Fifth to Sixth term:
Multiply the fifth number by 2 and subtract 5:
70×2-5=140-5=135

Sixth to Seventh term (Missing term):
Following the pattern, we multiply each term by 2 and subtract an increasing integer (1, 2, 3, 4, 5, 6...). Therefore, to find the 7th term, we multiply the 6th term by 2 and subtract 6:
135×2-6=270-6=264

Thus, the missing term in the sequence is 264.

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