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iragen [17]
2 years ago
14

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

Mathematics
1 answer:
erastova [34]2 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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3 years ago
Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

According to the first inequality

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x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

.cos(x/2)<1

x/2< arccos1

x/2<0

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This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

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x>90°

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This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

1/sin(x/2) < 1

1< sin(x/2)

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6 0
3 years ago
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Rzqust [24]

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Answer:

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