83. A given circle has a
1 answer:
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Answer:
The sum of the arithmetic sequence is .
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is and the common difference is d, then the nth term of the sequence is given by:
For the sequence
The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
Solve for a. Distribute:
Combine like terms:
Subtract 18 from both sides:
Hence, the value of a is:
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.