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The 9th common term in A.P's 2, 4, 6, 8, ........ and 1, 4, 7, 10, .........


 

Option: 1

50


Option: 2

52


Option: 3

54


Option: 4

56


Answers (1)

best_answer

Writing few common terms : 4,6,16....

So terms common in 2 A.P.'s always form an A.P.

Clearly first common term is 4.

Next common term is 10

Also, d for common AP = lcm (d1, d2)

                                    = lcm (2,3)

                                    = 6

So common terms are are

4,10, 16, 22, ......

So 9th common term will be 

a+(9-1)d

=4+8 \times 6 = 4+48 =52

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