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 = a10 =
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 = 8
a_n =
a_{10} =
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 that a = -7 and d = 8, we can substitute these values into the formula to find the 10th term (a10):
a10 = a + (10 - 1) * d a10 = -7 + (9 * 8) a10 = -7 + 72 a10 = 65
So, the 10th term of the sequence is 65.
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