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VLD [36.1K]
2 years ago
14

True or false:in a geometric sequence, the term a(n+1) can be smaller than the term a(n)

Mathematics
2 answers:
Svetllana [295]2 years ago
5 0
A(n) = current term

a(n + 1) = next term

in a geometric sequence, the next term comes from a product of the current term and the common ratio.

the common ratio can be any value, let's say use r = ½.

if the current term is say hmmm 40, the next term is 40*½ , or 20, so indeed, the next term is smaller.
dedylja [7]2 years ago
5 0
True.  If the common ratio r is between 0 and 1 (for example), then each successive term will be smaller than the preceding term.
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you can just search it 20% of 120

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The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance travel
algol [13]

Step-by-step explanation:

as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.

v(t) = 60×ln(t + 1)

V(t) = 60 × integral(ln(t + 1)) between 0 and 5.

integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C

V(t) = 60 × ((t + 1)ln(t + 1) - t + C)

the distance traveled between t = 0 and t = 5 is then

60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =

= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =

= 60×(5.750556815... + C) - 60×C =

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7 0
2 years ago
Amy is six years older than her brother Leo. Leo is seven years old. If n stands for Amy's age, which of these sentences could b
egoroff_w [7]

Answer:

n = 6+x

Step-by-step explanation:

Given that:

Amy is 6 years old than her brother Leo

Let consider the age of Leo to be x since we are not yet told how old is Leo

Then Amy is 6+x

Now, we know that Leo is seven years old,

i.e x = 7

If n stands for Amy's age,

Then, the algebraic expression showing how old is Amy's age can be expressed as n = 6+x

Amy's age (n) = 6+7

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8 0
3 years ago
Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to
konstantin123 [22]

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

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Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

5 0
3 years ago
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