a. nth term = 2n
b. nth term = 3 + 2n
c. nth term = a + (n - 1)d = 75 - 25n
d. nth term = 1 / 3 × 3ⁿ⁻¹ = 1 / 3 (3ⁿ⁻¹ )
<h3>How to solve sequence?</h3>
An arithmetic sequence can be represented as follows:
nth term = a + (n - 1)d
where
- n = number of terms
- d = common difference
- a = first term
Therefore, the rule of the sequence are as follows:
a.
nth term = 2 + (n - 1)2 = 2 + 2n - 2 = 2n
b.
nth term = 5 + (n - 1)2 = 5 + 2n - 2 = 3 + 2n
c.
nth term = a + (n - 1)d = 50 + (n - 1)-25 = 50 - 25n + 25 = 75 - 25n
d.
using geometric formula,
nth term = arⁿ⁻¹
Therefore,
nth term = 1 / 3 × 3ⁿ⁻¹ = 1 / 3 (3ⁿ⁻¹ )
Learn more about sequence here: brainly.com/question/12943895
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