Question

Write the next two terms of the following sequence $1,0.1,0.01$,____ , ___

Answer 1

In the given sequence is $1,0.1,0.01,......$, the first term $t_1=1$, second term $t_2=0.1$ and third term $t_3=0.01$. So, we observe that

$t_2=\frac{t_1}{10}=\frac{1}{10}=0.1$ and

$t_3=\frac{t_2}{10}=\frac{0.1}{10}=0.01$

Therefore, the next two terms of the sequence is:

$t_4=\frac{t_3}{10}=\frac{0.01}{10}=0.001$ and

$t_5=\frac{t_4}{10}=\frac{0.001}{10}=0.0001$

Hence, the next two terms are $0.001$ and $0.0001$.