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Question

What will be the 8th term of the sequence: 6, 10, 14, 18…


A

30

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B

34

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C

36

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D

32

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Solution

The correct option is B

34


The given sequence is 6, 10, 14, 18…

Let us calculate the difference between two consecutive terms:

10 - 6 = 4

14 - 10 = 4

18 - 14 = 4

We observe that the difference between two consecutive terms is 4 and each term is 4 more than the term preceding it.

So, the 8th term of the sequence = 6 + (8 - 1)×4 = 6 + 7×4 = 6 + 28 = 34


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