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blondinia [14]
3 years ago
10

The sum of the first three terms of an arithmetic sequence is 108, and the sum of the next three terms is 183. what is the value

of the 11th term
Mathematics
1 answer:
qaws [65]3 years ago
4 0
The key is to find the first term a(1) and the difference d.

in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183

subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3

the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111

Please double check my calculation. <span />
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Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

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that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

4 0
2 years ago
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abruzzese [7]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Notación científica de 0,567
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4 0
2 years ago
Find the equation of the line.<br><br>Use exact numbers.
Taya2010 [7]

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1

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6 0
2 years ago
You are downloading songs to your mp3 player the ratio of pop songs to rock songs is 5 to 4 you download 40 pop songs how many r
dmitriy555 [2]
The ratio of pop songs to rock songs you download is 5:4, and 40 are pop songs. You want to find out how many rock songs there are.
First, add the ratios together: 5+4=9. This means that 9 will be your denominator, so 5/9 songs are pop and 4/9 songs are rock.
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7 0
3 years ago
Read 2 more answers
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