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Write an explicit formula for the sequence

Write An Explicit Formula For The Sequence class=

Sagot :

Answer:

[tex]u_{n}[/tex] = - 5.6n + 3.2

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]u_{n}[/tex] = u₁ + (n - 1)d

where u₁ is the first term and d the common difference

To find u₁ use the given recursive formula

u₁ = u₀ - 5.6 = 3.2 - 5.6 = - 2.4

from the recursive formula d = - 5.6 , then explicit formula is

[tex]u_{n}[/tex] = - 2.4 - 5.6(n - 1) = - 2.4 - 5.6n + 5.6 = - 5.6n + 3.2

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