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OLEGan [10]
3 years ago
12

What is the recursive formula for this geometric sequence with this explicit formula?

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

D

the n th term (explicit ) formula for a geometric sequence is

a_{n} = a_{1}(r)^{n-1}

The given explicit formula therefore has

a_{1} = 5 and r = - \frac{1}{8}

The recursive formula, allows us to find the next term in the sequence from the previous term

Here the next term in the sequence is obtained by multiplying the previous term by - \frac{1}{8}

a_{n} = a_{n-1}(- \frac{1}{8}) with a_{1} = 5


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3 years ago
What is the difference between the smallest 6-digit whole number and the greatest four digit whole number
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2 years ago
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

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x+(2x+12)+90=180

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2 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
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Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

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Using this value in (1) we can find y.

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Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

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