Step-by-step explanation:
a2 = a1×r
a3 = a1×r²
a1×r + a1×r² = 6×a4 = 6×a1×r³
1.
r + r² = 6r³
6r³ - r² - r = 0
r×(6r² - r - 1) = 0
the first solution is obvious : r = 0.
but this is no useful ratio for a geometric sequence.
the other 2 solutions are in
6r² - r - 1 = 0
the general solutions for a quadratic equation are
(-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 6
b = -1
c = -1
so,
(1 ± sqrt(1 - 4×6×-1))/12
r = (1 ± sqrt(25))/12
r = (1 ± 5)/12
r1 = (1+5)/12 = 6/12 = 1/2
r2 = (1-5)/12 = -4/12 = -1/3
2.
we can ignore r2 (negative) and just focus on r1 (1/2).
the second term is 8. that means
a2 = 8 = a1×r = a1×1/2
a1 = 2×a2 = 16
so, we have
a1 = 16
a2 = 8
a3 = a2×1/2 = 8×1/2 = 4
a4 = a3×1/2 = 4×1/2 = 2
a5 = a4×1/2 = 2×1/2 = 1
a6 = a5×1/2 = 1×1/2 = 1/2
a7 = a6×1/2 = 1/2 × 1/2 = 1/4
Answer:
A-The middle number in the graph
B-the numbers added up and divided
C-all of the negative wrote down if any
D-y=4,3
E-decay because it has negatives
Step-by-step explanation:
Answer:
Need the picture of the following conclusions pls to answer
Step-by-step explanation:
Total number of sharings = 5+1 = 6
600 / 6 = 33.33
So ayo had one out of the 6 and received 33.33 answer
<span>Number of bowls left after 1 hour =
x - x/3 - 1/3 = 2x/3 - 1/3
</span><span> Number of bowls left after 2 hours = (2x/3 - 1/3) -
(2x/3 - 1/3)/2 - 1/2
= 2x/6 - 1/6 - 1/2
= 2x/6 - 4/6
= x/3 - 2/3
keep doing this untill u reach 0 bowls left
and then u'll get ur answer
</span>
