PREGUNTA 3PRODUCCION Y COSTOS DE UNA EMPRESA ………………. (04 PUNTOS)SEA q = f ( T / K ) .................... q = PRODUCTO TOTAL FISI
1 answer:
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All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
Step-by-step explanation:
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex is a maximum
The vertex is the point (h,k)
The range of the function is the interval (-∞,k]
so
Convert the quadratic equation in vertex form
Factor -1 leading coefficient
Complete the square
Rewrite as perfect squares
The vertex is the point (-1,4)
therefore
The range is
