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balandron [24]
2 years ago
12

For the geometric sequence -1,-2,-4... find a8

Mathematics
2 answers:
Alinara [238K]2 years ago
4 0
An=a1(r)^(n-1)
a1=first term
r=common ratio

so
firs term is -1

each is double the prevoius
r=2

an=-1(2)^n-1
8th term
a8=-1(2)^(8-1)
a8=-1(2)^7
a8=-1(128)
a8=-128
the 8th term is -128

swat322 years ago
4 0
Geometric sequence formula gn = g1 (r)^n - 1

To find the ratio you divide g2 by g1

G1 = first number in the series



To find g8 you just plug 8 instead of n

g8 = g1 (r)^8 - 1

g8 = -1 (2)^8 - 1

g8 = -128
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3 years ago
Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
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  • 6. Electric current, ampere (A)
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Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

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Keywords: slug, Newton, feet, kg, pound

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The answer is <em>0.7</em><em> </em>

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