Q. 10

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

Answer :

To find: 10^{th} common term between the APs

Common difference of 1^{st} series = 4

Common difference of 2^{nd} 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 10^{th} = term of this series is

⟹ 11 + 20 × 9

⟹ 191

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