The first 5 terms of an arithmetic sequence are 7, 21, 35, 49, and 63. Let t subscript n represent the nthth term of the sequence. What is the value of t subscript 25?
Correct answer: B
Explanation
A. Incorrect. Remember that the th term of an arithmetic sequence, , can be calculated using the formula where n is the number of terms, d is the common difference, and is the first term. You may have calculated .
B. Correct. Remember that the th term of an arithmetic sequence, , can be calculated using the formula where n is the number of terms, d is the common difference, and is the first term. Here, , , and the common difference can be found by subtracting any 2 consecutive terms, . Substituting these values, .
C. Incorrect. Remember that the th term of an arithmetic sequence, , can be calculated using the formula where n is the number of terms, d is the common difference, and is the first term. You may have calculated .
D. Incorrect. Remember that the th term of an arithmetic sequence, , can be calculated using the formula where n is the number of terms, d is the common difference, and is the first term. You may have calculated .
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