Answer:
The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.
Step-by-step explanation:
a(n + 1) = 5* a(n) for n≥1
given that
a(1) = 2
therefore:
when n = 1, a(2) = 5* a(1) = 5 * 2 = 10
when n = 2, a(3) = 5*a(2) = 5 * 10 = 50
.
.
.
The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.
(3b) / (5b - 7) = 8/11
cross multiply
8(5b - 7) = 11(3b)
40b - 56 = 33b
-56 = 33b - 40b
-56 = -7b
-56/-7 = b
8 = b
Use the Pythagorean theorem
A^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
13=c
13 foot ladder
Find the GCF (Greatest Common Factor)
GCF = 2x
Factor out the GCF (Write the GCF first and then, in parentheses, divide each term by the GCF.)
2x (2x^3/2x + 4x^2/2x + 6x/2x)
Simplify each term in parentheses
-2x(x^2 + 2x + 3)
<u>Answer D. -2(x^2 + 2x + 3)</u>
Everyone gets 2 hope it helped!