To find the 31st term of the arithmetic sequence with a1 = -6 and d = -2/5, we first need to determine the general formula for the nth term of an arithmetic sequence.
The general formula for the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
Now, substitute the given values of a1 = -6, d = -2/5, and n = 31 into the formula to find a31:
a31 = -6 + (31 - 1)(-2/5)
a31 = -6 + 30(-2/5)
a31 = -6 + (-60/5)
a31 = -6 + (-12)
a31 = -18
Therefore, the 31st term of the arithmetic sequence with a1 = -6 and d = -2/5 is -18.
Use the formula for the general term of an arithmetic sequence to find the indicated term of the sequence with the given first term a1 and common difference, d. Find a31 when a1=-6 and d=-2/5
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