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Dmitrij [34]
2 years ago
6

25 points+brainliest!

Mathematics
2 answers:
STatiana [176]2 years ago
8 0

Answer:

an= 10n+90

a10= 190

Serggg [28]2 years ago
5 0

Answer:

\displaystyle a_n=100+10(n-1)

\displaystyle a_{10}=190

Step-by-step explanation:

We have the arithmetic sequence:

100, 110, 120, 130...

And we want to determine the equation for the nth term of the sequence.

The standard form for the nth term of an arithmetic sequence is given by the formula:

\displaystyle a_n=a+d(n-1)

Where a_n is the nth term, a is the first term, and d is our common difference.

From the sequence, we can see that the first term a is 100.

Also, each term is +10 the previous term. Hence, our common difference \displaystyle d is +10.

Therefore, our equation is:

\displaystyle a_n=100+10(n-1)

To find the 10th term, we can substitute 10 for n and evaluate. Hence:

\displaystyle a_{10}=100+10(10-1)

Evaluate:

\displaystyle a_{10}=100+10(9)=100+90=190

Therefore, the 10th term is 190.

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