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Question
The 10th common term between the series 3 + 7 + 11 + ... and 1 + 6 + 11 + ... is ______.
Options
191
193
211
None of these
Solution
The 10th common term between the series 3 + 7 + 11 + ... and 1 + 6 + 11 + ... is 191.
Explanation:
The first common term is 11.
Now the next common term is obtained by adding L.C.M. of the common difference 4 and 5
i.e., 20.
Therefore, 10th common term = T10 of the AP
Whose a = 11 and d = 20
T10 = a + 9 d = 11 + 9(20) = 191
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