SOLUTION: Obtain,in ascending powers of x,the first 4 terms in the expansion of (2-x/2)^7. Hence find the value of (1.995)^7 correct to 4 decimal places

Algebra ->  Test -> SOLUTION: Obtain,in ascending powers of x,the first 4 terms in the expansion of (2-x/2)^7. Hence find the value of (1.995)^7 correct to 4 decimal places       Log On


   



Question 1185805: Obtain,in ascending powers of x,the first 4 terms in the expansion of (2-x/2)^7. Hence find the value of (1.995)^7 correct to 4 decimal places
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


%282-%28x%2F2%29%29%5E7

=

= 128-%287%2A32%29x%2B%2821%2A8%29x%5E2-%2835%2A2%29x%5E3

= 128-224x%2B168x%5E2-70x%5E3

2-x%2F2=1.995 --> x=0.01



Actual value (to 7 decimal places): 1.995^7=125.7767302