Question
Find the 23rd term of the arithmetic sequence. Use the drop-down lists find the common difference, to write the Explicit Formula, and to find the 23rd term.
The sequence is -4, -7, -10, -13
The sequence is -4, -7, -10, -13
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Answered by
GPT 3.5
The common difference is -3.
The explicit formula is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
To find the 23rd term, we can substitute the values into the explicit formula:
a_23 = -4 + (23-1)(-3)
a_23 = -4 + 22(-3)
a_23 = -4 - 66
a_23 = -70
Therefore, the 23rd term of the arithmetic sequence is -70.
The explicit formula is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
To find the 23rd term, we can substitute the values into the explicit formula:
a_23 = -4 + (23-1)(-3)
a_23 = -4 + 22(-3)
a_23 = -4 - 66
a_23 = -70
Therefore, the 23rd term of the arithmetic sequence is -70.
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