Q.

The number of common terms between the sequences given by 1, 4, 7, 10…298 and 2, 4, 6,8 …. 300 is

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a

49

b

50

c

48

d

100

answer is B.

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Detailed Solution

Tn=3n−2,Tm=2m 3n−2=2m  n is even N=2,4,6………100 Common terms are 4,10……….
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The number of common terms between the sequences given by 1, 4, 7, 10…298 and 2, 4, 6,8 …. 300 is