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jekas [21]
4 years ago
15

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

Mathematics
2 answers:
Anton [14]4 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]4 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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Your cell phone plan cost $24.99 per month plus $0.12 for each text message you send or receive. you have a most $30 to spend on
ioda

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

3 0
3 years ago
Read 2 more answers
Got this wrong on a test and not sure what I did wrong , help!
pashok25 [27]
1500-500=$1000
So now you know that $1000 accounts for only 25% of the ticket sales, so multiply 1000 by 4 to give you 100% of the ticket sales and $4000 is your answer
6 0
3 years ago
10.(02.06 LC)<br> The number line below represents which combined inequality? (5 points)
ZanzabumX [31]
For me it’s most likely to be A because I combine the inequality and got A so hope this helped
6 0
3 years ago
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Which values are equivalent to the fraction below? 6^7/6^5
Helen [10]

Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.

4 0
4 years ago
PLEASE HURRY TEST
Sophie [7]
It’s going to be C!!
4 0
2 years ago
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