Answer:
a₈ = - 1 / 128
Step-by-step explanation:
Given:
First four terms of the sequence
a₁= 1, a₂= - 1/2, a₃= 1/4 and a₄= -1/8
First we recognize that this is a geometric series (sequence) and we must calculate quotient q.
q = a₂/a₁ = a₃/a₂ = (-1/2)/1 = (1/4)/(-1/2) = - 1/2
q = - 1/2
Formula for calculating n-th term is:
aₙ = a₁ · qⁿ⁻¹
According to this:
a₈ = 1 (-1/2)⁷ = - 1/ 128
God with you!!!
Answer:
f(x) = x² - 6x + 14
Step-by-step explanation:
Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c
So we are going to expand the equation and combine like terms:
f(x) = (x - 3)² + 5
f(x) = x² - 3x - 3x + 9 + 5
f(x) = x² - 6x + 9 + 5
f(x) = x² - 6x + 14
Answer:
5x + 2y + z
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of all the sides of the polygon. This polygons has 8 sides. Their lengths are:
x, x, x, x, x, y, y, z
The perimeter of the polygon is the sum of the lengths shown above.
perimeter = x + x + x + x + x + y + y + z
The expression above can be simplified by combining like terms.
perimeter = 5x + 2y + z
The answer is the square root of 23 i.
(The “i” is outside of the square root symbol, and the 23 is positive).
Hope this helps! (:
Combine like terms
X=-4
Y=17
