What is the 7th term in the geometric sequence described by this explicit formula?an = 2 • 5(n – 1)A.31,250B.1,000,000C.156,250D.15,625SUBMITarrow_backPREVIOUS
Question
What is the 7th term in the geometric sequence described by this explicit formula?an = 2 • 5(n – 1)A.31,250B.1,000,000C.156,250D.15,625SUBMITarrow_backPREVIOUS
Solution
The explicit formula for a geometric sequence is given as an = 2 • 5^(n – 1).
To find the 7th term, we substitute n = 7 into the formula:
a7 = 2 • 5^(7 – 1) = 2 • 5^6 = 2 • 15625 = 31250
So, the 7th term of the sequence is 31,250. Therefore, the answer is A. 31,250.
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