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3 years ago

The fourth term of a Geometric Progression is 48 and the sixth term is 12. Find the

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

Common ratio = 1/2 and first term = 384

or common ratio = -1/2 and first term = -384.

Step-by-step explanation:

T6/T4 = r^5 / r^3 where r = the common ratio and T6 and T4 are 6th and 4th terms

r^5 / r^3 = 12/48

r^2 = 1/4

so r = +/- 1/2.

The 4th term = a r^3 where a = first term.

If r = 1/2:-

48 = a *(1/2)^3 = a/8

a = 8*48

= 384.

if r = -1/2, then a = -384

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Sphinxa [80]

Answer:

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

Center at (-5,-1) because of the plus 5 added to the x and the plus 1 added to the y.

a(squared)=36 which means a=6 and a=distance from center to vertices so add and subtract 6 from the x coordinate since this is a horizontal hyperbola, which is (1,-1), (-11,-1). From there you dont need to find the focus since there is only one option for this;

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

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3 years ago

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Answer:

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Step-by-step explanation:

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where,

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Now we will simplify above expression for a

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$a=\frac{3\times 7}{7}+\frac{12}{7}$ (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

$a=\frac{21+12}{7}$

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Step-by-step explanation:

<h2>Also check out our you tube channel about math called <em>Evimero Academy</em></h2>

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Answer:

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