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jekas [21]
3 years ago
15

Consider the sequence: 1536,768, 384, 192,96, --- Determine the 11th term of the sequence.

Mathematics
2 answers:
Anton [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Let ‘a’ is the first term and ‘r’ is a common ratio

By using formula of G.P

Tn = a.r^n-1

=(1536)(1/2)^11-1

= 2^9 x 3 x 2^ -10

= 3 x 2^9-10

= 3 x 2^-1

= 3/2

11th is 3/2

Naya [18.7K]3 years ago
7 0

Answer:

1.5

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

768 ÷ 1536 = 0.5

384 ÷ 768 = 0.5

192 ÷ 384 = 0.5

96 ÷ 192 = 0.5

This indicates that the terms form a geometric sequence with

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

where a is the first term and r the common ratio

Here a = 1536 and r = 0.5, thus

a_{11} = 1536 × (0.5)^{10} = 1.5

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3 years ago
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irakobra [83]

Answer:

0.108

Step-by-step explanation:

0.66 × 0.33 × 0.5 = 0.108.

Formula: L × W × H × 1/6.

L = 4

W = 2

H = 3

4×2×3.

We then have you multiply that by 1/6.

4×1/6 = 0.66.

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0.66 × 0.33 × 0.5 = 0.108.

Now, onto the correct answers.

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7 0
3 years ago
The decimal expansion of all rationals will be
aleksklad [387]

Answer:

I'm pretty sure they either terminate after so many digits (end) or repeat a certain pattern of numbers.

Step-by-step explanation:

The first will look like this: 432.2340

The second would look like this: 324.234234234... ("234" would keep repeating over and over and over. And can be any sequence of #'s)

^Random numbers were used as examples^

5 0
2 years ago
Barry owns a music store, He recorded the sales of a newly launched album as part of his biweekly inventory. The table shows the
dimulka [17.4K]
Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation f(x)=a x^{2} +bx+c. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.

First let's plug x = 0 and f(x) = 0.
0=0+0+c
c=0

Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)

78=4a+2b
152=16a+4b

Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.

39=2a+b
38=4a+b

Next, we subtract equation 2 from equation 1.

1=-2a
a=-0.5

Finally, we substitute the value of a to equation 2 to get the value of b.

38=4(-0.5)+b
b=40

Therefore, the function should be f(x)=-0.5 x^{2} +40x
5 0
3 years ago
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If you answer this can you explain how you got that answer please and thank you
liberstina [14]

Answer:

.

Step-by-step explanation:

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2 years ago
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