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Romashka-Z-Leto [24]
2 years ago
14

Help pleaseeon the image with the steps.​

Mathematics
2 answers:
melisa1 [442]2 years ago
4 0
6n + 28 because the difference is 12 so if u half that to get the second it’s 6 hence 6n and then u have to add 6 to 22 to get 28 and it’s a positive number so therefore the expression is 6n+ 28
kenny6666 [7]2 years ago
3 0

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n

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