Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term?a = −7, d = 8an =
Question
Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term?a = −7, d = 8an =
Solution
The nth term of an arithmetic sequence can be found using the formula:
an = a + (n-1)*d
where: an is the nth term a is the first term n is the term number d is the common difference
Given a = -7 (the first term) and d = 8 (the common difference), we can find the 10th term (n=10) by substituting these values into the formula:
a10 = -7 + (10-1)8 a10 = -7 + 98 a10 = -7 + 72 a10 = 65
So, the 10th term of the sequence is 65.
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