The cube root of (n increased by 8), or ∛(n+8), is -0.5, or -1/2.
∛(n+8) = -1/2. To solve this for n, cube both sides, obtaining n+8 = -1/8.
Eliminate the fraction by mult. all three terms by 8: 8n + 64 = -1
Solving for n: 8n = -65, so that n = -65/8.
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
I believe that it would actually be when it would be a "<span>codominace" as when both of the rabbits would be have a part in this baby.</span>
Answer: y = -1/4 * x - 4
Explanation:
Slope intercept form : y = mx + b
m = slope & b = y intercept
y = mx + b
y = -1/4(x) + b
y = -1/4(x) - 4
-1/4 is slope
-4 is y intercept
