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Arithmetic progression check: determine which option belongs to the series. Series: 10, 17, 24, 31, 38, … (constant difference) Choose the number that appears in this series.

Difficulty: Easy

Correct Answer: 346

Explanation:


Concept/Approach
The sequence is an arithmetic progression (AP) with common difference d = 7.


General term
Tn = 10 + (n − 1)·7.


Check options
(a) 48: (48 − 10)/7 = 38/7 (not integer) (b) 346: (346 − 10)/7 = 336/7 = 48 (integer) ⇒ in AP (c) 574: (574 − 10)/7 = 564/7 (not integer) (d) 1003: (1003 − 10)/7 = 993/7 (not integer)


Final Answer
346

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