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gulaghasi [49]
3 years ago
8

The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a1, and the common d

ifference, d, of the sequence
Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

The first term is − 17 and the common difference is 3

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Answer: x=3

Step-by-step explanation:

To solve this problem you must apply the proccedure shown  below:

- Multiply both sides of the equation by 3:

3(2x-3)=3(\frac{x^2}{3})\\6x-9=x^{2}

- Now you must make the equation equal to zero as following:

6x-9=x^{2}\\x^{2}-6x+9=0

- Factor it, as you can see below. Therefore, you obtain the following result:

(x-3)(x-3)=0\\(x-3)^2=0\\x=3

 

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