Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term?a = −0.9, d = −0.3an = 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 = −0.9, d = −0.3an = a10 =
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, d is the common difference, and n is the term number.
Given that a = -0.9 and d = -0.3, we can substitute these values into the formula to find the 10th term (a10):
a10 = a + (10-1)d a10 = -0.9 + (9)(-0.3) a10 = -0.9 - 2.7 a10 = -3.6
So, the 10th term of the sequence is -3.6.
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