The equation for the nth term of the arithmetic sequence is aₙ = 2n - 1
How to find the equation of an arithmetic sequence?
The equation for the arithmetic sequence can be solved as follows:
The sequence is 1, 3, 5, 7, …
Hence, using AP formula,
aₙ = a + (n - 1)d
where
- a = first term
- d = common difference
Hence,
d = 3 - 1 = 2
a = 1
Therefore,
nth term = 1 + (n - 1)2
nth term = 1 + 2n - 2
nth term = 1 - 2 + 2n
Therefore,
nth term = 2n - 1
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