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Determine if the sequence is arithmetic or geometric, and then find the 10th term for the sequence

6, 12, 18, 24, ...

Please help and explain please

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4 votes

Answer:

The 10th term of the sequence is 60.

Explanation:

The given sequence is arithmetic because each term is obtained by adding 6 to the previous term. To find the 10th term, we use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

where a_1 is the first term, d is the common difference, and n is the term number we want to find.

For this sequence, a_1 = 6 and d = 6, so we have:

a_10 = 6 + (10-1)6

a_10 = 6 + 54

a_10 = 60

Therefore, the 10th term of the sequence is 60.

User Vintastic
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