Question

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

• A. 49
• B. 50
• C. 48
• D. 100

Answer 1

The correct option is B 50

${\text{AP}}_1:1,4,7,10,...298$

$a_1=1d_1=3n_1=100$

${\text{AP}}_2:2,4,6,8,...300$

$a_2=2d_2=2n_2=150$

common terms are

$4,10,16,...298$

$a=2d=6a_n=298$

$a_n=a+(n-1)d$

$298=4+(n-1)6$

$\frac{294}{6}=n-1$

$n=50$