The explicit formula for the sequences 1,9,25,49,81,.... is an=(2n-1)². Hence the correct option is A.
What are sequence and series?
⇒ A sequence is a list of elements that have been ordered sequentially, such that members come either before or after.
Calculation:
The sequence is given below.
⇒ 1, 9, 25, 49, 81, …
The explicit formula which results in the given sequence is
1=(2×1-1)²
9=(2×2-2)²
25=(2×3-1)²
49=(2×4-1)²
81=(2×5-1)²
,,,,,,,,,,,,,,,,,,,,,,,,,,,,, where n,is a natural number
Hence the general equation of the given sequence is (2×n-1)²=(2n-1)²
Then the correct option is A. an=(2n-1)²
Learn more about the sequence here:
brainly.com/question/6561461
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