What is the recursive formula when given the explicit formula for the following geometric sequence?

Mathematics

1 answer:

satela [25.4K]4 years ago

5 0

Answer:

Step-by-step explanation:

Take a careful look at a(n) = 6(-8)^(n-1).

The first term is 6. This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6. Thus, we can immediately eliminate possible answer choices A and D.

What's the next term? Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.

You might be interested in

This is my next Trigonometry question I am needed help on- I just want to be sure I've got it right, or if not, then the steps I

Reptile [31]

$\bf cos(\theta)=\cfrac{3}{5}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\implies \pm\sqrt{5^2-3^2}=b
\\\\\\
\pm\sqrt{16}=b\implies \pm4=b$

so, plus or minus? well, the angle is in the 1st quadrant, and on that quadrant, both cosine and sine are positive, so 4 = b

$\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{4}{3}$

6 0

4 years ago

What is the answer please

just olya [345]

Answer:

RVS is equal to 180 - 26 degrees, or 154 degrees.

Bonus: I assume the next part of the question asks you to solve for x, where x is equal to that angle. If so, then the answer is 15:

154 = 10x + 4

150 = 10x

x = 15

3 0

3 years ago