Answer:
The interval of convergence is -1<x<1
Step-by-step explanation:
To find the interval of convergence of the series, we will use the condition for convergence of a series according to Ratio test.
The solution is as shown in the attachment.
The answer is 1.72 and it would be 2 if u estimated
Answer:
a) 69.5 b)72.1 c)74.7
Step-by-step explanation:
a)Someone born in 1950 has life expectancy=68.2 yrs while 1970=70.8 yrs
to find life expectancy of someone born in 1960 we can interpolate to find the results like this:
(68.2+70.8)/2 =69.5 because 1960 is exactly in between 1950 and 1970
Now we can see the trend like this :
68.2,69.5,70.8 and common difference is 1.3
b) adding 1.3 to 70.8 we can get life expectancy for someone born i 1980 and that is 72.1
c) adding two times 1.3 life expectancy of someone born in 2000 is 74.7 as year gap is 2
Generally it is said that interpolation is more accurate and extrapolation can have errors but in our present case i'm more confident about b and c as the series is simple but it too depends on a to find the accurate common difference so if there is some errror in a we too have error chances in b and c so they are interrelated.
4×11+1=45
A+B+C=180 60+75+C=180 180_130=c c=45
A - 2 1/2 = 1 1/2
Solve for A by adding 2 1/2 to both sides:
A = 1 1/2 + 2 1/2
A = 4
The answer is c. A = 4
Check: 4 - 2 1/2 = 1 1/2
