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An arithmetic sequence has a first term of 8 and a second term of 13. Determine the value of its tenth term.

a) 60
b) 58
c) 63
d) 68

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An arithmetic sequence has a first term of 8 and a second term of 13. To find the value of the tenth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. Plugging in the values, we have a_10 = 8 + (10 - 1)5 = 8 + 45 = 53. So the value of the tenth term is 53.

The correct answer to the given question is option c).

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the first term is 8 and the second term is 13, so the common difference is 13 - 8 = 5.

To find the value of the tenth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference.

Plugging in the values, we have a_10 = 8 + (10 - 1)5 = 8 + 45 = 53. So the value of the tenth term is 53.

The probable question may be:

An arithmetic sequence has a first term of 8 and a second term of 13. Determine the value of its tenth term.

a) 60

b) 58

c) 53

d) 68

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