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Solution


Q.

The number of common terms in the progressions
4, 9, 14, 19, ........…, up to 25th term and 3, 6, 9, 12, ....…, up to 37th term is:                [2024]
1 8  
2 7  
3 5  
4 9  

Ans.

(2)

4, 9, 14, 19, ... are in A.P. with  d1=5, n1=25

3, 6, 9, 12, ... are in A.P. with d2=3, n2=37

L.C.M. (d1,d2)=15

Common terms = 9, 24, 39, 54, 69, 84, 99