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Question


Find the 10th term of the sequence: 2, 8, 14, 20…


Options:
A .   50
B .   54
C .   56
D .   52
Answer: Option C
:
C

The given sequence is  2, 8, 14, 20…


Let us calculate the difference between two consecutive terms:


8 - 2 = 6


14 - 8 = 6


20 - 14 = 6


We observe that the difference between two consecutive terms is 6 and each term is 6 more than the term preceding it.


So,the 10th term of the sequence = 2 + (10 - 1)×6 = 2 + 9×6 = 2 + 54 = 56


Hence, the 10th term of the sequence is 56.



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