Q10 of 102 Page 429

What is the 10th common term between the APs 3, 7, 11, 15, 19, … and 1, 6, 11, 16, …?

To find: 10th common term between the APs


Common difference of 1st series = 4


Common difference of 2nd series = 5


LCM of common difference will give us a common difference of new series


⟹ 5 × 4


⟹ 20


The first term of new AP will be 11, so the 10th = term of this series is


⟹ 11 + 20 × 9


⟹ 191


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