Correct Answer - Option 3 : 70
The logic followed is:
Given arithmetic progressive series: 6, 10, 14, _ _ _ _ _
we can see a common difference = 4
First-term = 6
To find nth term of an AP is, Tn = a + (n - 1)d
Thus 17th term in this series ⇒ T17 = 6 + (17 - 1)4
T17 = 6 + (16)4
T17 = 6 + 64
T17 = 70
Hence, the correct answer is "70".