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AysviL [449]
3 years ago
11

I need help please...​

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

a_n=11-10\,n

Step-by-step explanation:

Notice that in the sequence :

1, -9, -19, ...  one term differs from the following by a constant number that is subtracted from the first one. There is what is called a "common difference" (d = -10)

the first term is "1", and we can apply the formula for the nth term of an arithmetic sequence for which we know the first term , and the common difference:

a_n=a_1+(n-1) * d\\a_n=1\,+\,(n-1)*(-10)\\a_n=1-10\,n+\,10\\a_n=11-10\,n

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