101k views
4 votes
Write an explicit equation for the following
sequence:

4/7,-4, 28, -196, 1372, ...

User Ladji
by
8.6k points

1 Answer

5 votes

Answer:

a_n = (4/7)(-7)^(n - 1)

Explanation:

a1 = 4/7 = 4/7 × 1 = (4/7)(-7)^0

a2 = -4 = 4/7 × (-7) = (4/7)(-7)^1

a3 = 28 = 4/7 × (-7)(-7) = (4/7) × (-7)^2

etc.

a_n = (4/7)(-7)^(n - 1)

User BugHunterUK
by
8.0k points
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