You are having a discussion about sequences with your classmate. She insists that the sequence 2,3,5,8,12 must be a Arithmatic o
1 answer:
You might be interested in
Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:
To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:
If you don't want to apply the method above, you can use the quadratic formula:
Where:
When you susbstitute values you obtain that:
Then you can rewrite the equation as
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>
<em> </em><em />
The sum of the arithmetic sequence is