QUESTION

CSAT

Easy

Reasoning

Prelims 2025

What is X in the sequence 1,3,6,11,18,X,421, 3, 6, 11, 18, X, 42 ?

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Explanation

Observe the differences between consecutive terms:

Q70

Q70

31=23 - 1 = 2 63=36 - 3 = 3 116=511 - 6 = 5 1811=718 - 11 = 7 X18=?X - 18 = ? 42X=?42 - X = ?

These differences are consecutive prime numbers: 2,3,5,7,11,13,...2, 3, 5, 7, 11, 13, ...

So: 18+11=2918 + 11 = 29 \rightarrow This gives the value of X. Check next: 29+13=4229 + 13 = 42 \rightarrow Matches the sequence.

Therefore, X=29X = 29.

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