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

a) 70
b) 53
c) 58
d) 68

User Yang Meyer
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1 Answer

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Final answer:

Without the common difference provided, it's impossible to determine the value of the tenth term in the given arithmetic sequence. The question cannot be answered accurately with the information provided.

Step-by-step explanation:

The value of the tenth term in an arithmetic sequence with first term 8 (a1) and second term d can be found using the formula for the nth term of an arithmetic sequence, which is an = a1 + (n-1)d, where d is the common difference. Since the second term is not explicitly given, we'll assume it incorporates the common difference, d. So, the value of the tenth term (a10) is a10 = 8 + (10-1)d, which simplifies to a10 = 8 + 9d.

To find the exact value, we need the common difference, d. Since the problem statement does not provide it, we can't calculate the specific value of the tenth term. Thus, no option between a) 70, b) 53, c) 58, d) 68 can be definitively chosen without the value of d.

User Sam Greenhalgh
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