Answer:
501.76
Step-by-step explanation:
common ratio r = 0.5
first term a = 256
sum of G.p = Sn= a( r^n -1)/r-1
sum of the first 6 terms =
S6 = 256( 0.5^6 - 1)/ 0.5 - 1
= 256( 0.0156 - 1)/-0.5
= 256( -0.98)/-0.5
= - 250.88/-0.5
S6 = 501.76
Estimate :
7 1/8 rounds to 7
6 * 7 = 42.....about 42 yds
If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination
C(5, 2) = 5!/(2!.3!) = 10
Then if we had something like
(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"
And in our case we have 2x as a
So we must do 2² too
2² = 4
10 . 4 = 40
Then our second term of the expansion would be
40x²y³