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What will come at the place of question mark? 1, 2, 6, 21, 88, ?

A445

B441

C443

D440

Answer:

A. 445

Read Explanation:

Consider the series:

1,2,6,21,88,?1,2,6,21,88,?

Look for the pattern:

  • (1×1+1=2)(1 \times 1 + 1 = 2)

  • (2×2+2=6)(2 \times 2 + 2 = 6)

  • (6×3+3=21)(6 \times 3 + 3 = 21)

  • (21×4+4=88)(21 \times 4 + 4 = 88)

So the rule is:

Next term=(Current term×n)+n,\text{Next term} = (\text{Current term} \times n) + n,

where (n=1,2,3,4,…)(n = 1, 2, 3, 4, \ldots)

For the next term ((n=5)):

88×5+5=440+5=44588 \times 5 + 5 = 440 + 5 = 445


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