Question

Write the next two terms of the following sequence 13,15,17, __ , __

Answer 1

In the given sequence is $13,15,\mathrm{17.......}$, the first term $t_1=13$, second term $t_2=15$ and third term $t_3=17$. So, the difference between the two terms of the given sequence is:

$d=t_2-t_1=15-13=2$ or

$d=t_3-t_2=17-15=2$

Therefore, the next two terms of the sequence is:

$t_4=t_3+2=17+2=19$ and

$t_5=t_4+2=19+2=21$

Hence, the next two terms are $19$ and $21$.