Answer:
Answer: Option d. 4×[tex]10^{-11}[/tex]
Step-by-step explanation:
In any sequence where ratio of the terms is given we always use the formula
A(n) = A(1)[tex]r^{n-1}[/tex]
Here A(n) is the term n
A(1) is the first term
n= number of trms
and r = ration of the terms
Here the given sequence is 40,0.4,0.004........
So A(1) = 40
Ratio 'r' of second and first term is =0.4/40=1/100
We have to find 7th term so n=7
Now we put the values in the formula
A(7) = [tex]40(1/100)^{7-1}[/tex]
=[tex]40(1/100)^{6}[/tex]
= [tex]40/100^{6} =40/10^{12}[/tex]
= 40×[tex]10^{-12}[/tex]
= 4×[tex]10^{-11}[/tex]
