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
Answer:
88
Step-by-step explanation:
8x8=64
1/2(8x6)=24
64+24=88
Let t and f be the number to two and four seat tables respectively.
t+f=22, solve for t
t=22-f, then we are told that capacity must be less than or equal to 72 people.
2t+4f≤72, using t found above in this equation we get:
2(22-f)+4f≤72 perform indicated multiplication on left side
44-2f+4f≤72 combine like terms on left side
44+2f≤72 subtract 44 from both sides
2f≤28 divide both sides by 2
f≤14 Since f=integer
f=14, and since t=22-f
t=8
So they should purchase 14 four seat tables and 8 two seat tables.