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1 year ago

Which of the following is a Recursive Formula for an Arithmetic Sequence?

Mathematics

1 answer:

In-s [12.5K]1 year ago

3 0

The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.

<h3>What is Arithmetic sequence ?</h3>

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Given:

an = -3 + 6(n – 1)

a1= -3

a2= 3

a3 = 9

Here the common difference is 6 and first term is -3

Hence, the recursive formula is a1 = -3, an = an-1 + 6.

Learn more about this concept here:

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A) 1<br> b) -20<br> c) 20<br> d) 7

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$f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}$

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3 years ago

If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(9) = 6 h(9) = 4 g' (9) = −6 h' (9) = 4 fx(6, 4) = 9 fy(6, 4)

horsena [70]

Answer:

dz / dt = -50

Step-by-step explanation:

To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:

using the chain rule, we find:

dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)

Evaluating when t = 9, we have to:

fx (6, 4) * g '(9) + fy (6, 4) * h '(9)

We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1

Replacing:

(9 * -6) + (1 * 4) = -50

Por lo tanto dz / dt = -50

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3 years ago

If yo travel56mph how far will you go in2hr15min how long does it take to cover 168 miles

Alex73 [517]

2 hr 15 min = 2 $\frac{1}{4}$ hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 = 126 miles

"how long" means time ... so using the same formula
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time

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3 years ago

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atroni [7]

X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X

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3 years ago

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