Question

Difficulty: EasyNumber and Alphabet Series

Complete the given numerical series by identifying the term that logically follows.

Answer:In the numerical sequence 3,7,11,15,19,3, 7, 11, 15, 19, \dots, the term that completes the blank is 【23】.

Answer

The next term in the sequence is 23.
Each consecutive term in the given series increases by a fixed constant of 44 (3+4=73 + 4 = 7, 7+4=117 + 4 = 11, 11+4=1511 + 4 = 15, 15+4=1915 + 4 = 19). Adding 44 to 1919 gives the correct term, 2323.

Step-by-Step Solution

1
Find the difference between consecutive terms in the sequence.
73=47 - 3 = 4, 117=411 - 7 = 4, 1511=415 - 11 = 4, and 1915=419 - 15 = 4.
Determining the common difference helps uncover the underlying arithmetic rule of the sequence.
2
Add the constant difference of 4 to the last term given (1919).
19+4=2319 + 4 = 23.
Applying the identified rule (+4) yields the logical next term of the series.

Key Concept

Arithmetic Number Series with Constant Difference
Estimated Time:30s
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