The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
Here ya go... hope this helps (:
these are separate functions right? if not i'll do it again.
Answer: d = 10
Step-by-step explanation:
Step-by-step explanation:
The formula for calculating distance between two points is given by :
d = 
= -3
= 5
= 11
= 5
substituting the values , we have
d = 
d = 
d = 
d = 
d = 
d = 10