Answer:
The correct answer is 13.75
Step-by-step explanation:
4+2= 6
6+1=7
6+7= 13
13+1/2= 13.5
13.5+1/4= 13.75
Answer:
[tex]s_10=\frac{1023}{128}[/tex]
Step-by-step explanation:
4+2+1+1/2+1/4.....
WE need to find out the sum s10
first term is 4 and second term is 2
2/4 = 1/2
1/2= 1/2
1/2 / 1= 1/2
so common ratio is 1/2
The given series is geometric series
we use the sum formula for the geometric series
[tex]s_n= a\frac{(1-r^n)}{1-r}[/tex]
Where 'r' is the common ratio and 'a' is the first term
a= 4 and r= 1/2
Plug in the values in the sum formula'
[tex]s_n= 4\frac{(1-(\frac{1}{2})^n)}{1-(\frac{1}{2})}[/tex]
Given n=10
[tex]s_10= 4\frac{(1-(\frac{1}{2})^{10})}{1-(\frac{1}{2})}=\frac{1023}{128}[/tex]
