You can each order from: Column A- 6 times, Column B- 4 times
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer: FALSE
Step-by-step explanation:
Answer:
24 units³
Step-by-step explanation:
Formula:
Volume (V) = length (l) × width (w) × height (h)
V=3×4×2=24 units³
248 to 370 gems
set up two equations
132=(1/2)x+8 x=248
193=(1/2)x+8 x=370