Which is the eighth term in the sequence an=-1/125(5^n-1)
since 1/125 = 5^-3,
an = -5^n-4
a8 = -5^4 = -625
To find the eighth term in the sequence defined by the formula an = -1/125(5^n - 1), we can substitute the value of n as 8 into the formula and simplify.
Given: an = -1/125(5^n - 1)
Let's substitute n = 8:
a8 = -1/125(5^8 - 1)
Now, let's evaluate 5^8:
a8 = -1/125(390625 - 1)
Subtract 1 from 390,625:
a8 = -1/125(390624)
Finally, divide 390,624 by 125:
a8 = -3124.992
Therefore, the eighth term in the sequence is approximately -3124.992.