Number of identical terms in the sequence 2, 5, 8,11, ... upto 100 terms and 3, 5, 7, 9, 11, ... upto 100 terms, are

Common terms are 5, 11, 17, …….. Tn=5+(n−1)6=6n−1100th term of the first sequence =2+(100-1)3=299and 100th term of the second sequence =3+(100-1)2=201 201>6n−1⇒n≤3323⇒ n=33 (∵n∈N)