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3 years ago

Find the 61st term of the arithmetic sequence

Mathematics

1 answer:

krek1111 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

a(n) -a(n-1) = -16 (common differnce for arithmetic sequence)

-44-(-28) = (-28)-(-12) = -16

the ni-eme term is : a(n) = a(1) +(n-1)d d = -16 and a(1) = -12

so : a(n) = -12 +(n-1)(-16)

a(n) = -16n+4

continue for 61st term n = ?????

when : n= ? a(?) = -16(?)+3 =.....

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Idk how to get this answer actually. It's just my first guess, and it happened to be right.

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2 years ago

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Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
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$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
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3 years ago

Elisa is making candles. She needs 5 ounces of wax for each candle. She has 25 ounces of wax. How many candles can she make?

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The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the

nydimaria [60]

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

<h3>What is speed?</h3>

Speed can be defined as the rate of change in the position of an object. It is given as,

$Speed = \dfrac{Distance}{Time}$

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

$Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}$

$Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}$

$Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour$

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

brainly.com/question/7359669

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