Find the next term of the sequence:
$1, 4, 7, 10, . . . . . . . . . .$

11

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12

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13

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14

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Solution

The correct option is C $13$
Given series is $1, 4, 7, 10, . . . .$
We have,
$4 - 1 = 3$
$7 - 4 = 3$
$10 - 7 = 3$
This shows that the difference of a term and the preceding term is always same.
Thus, the given sequence forms an AP with first term $a = 1$ and common difference $d = 3$
So, the next term is $10 + 3 = 13$ .
Hence, the answer is $13$ .

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