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Write an explicit formula for An; the nth term of the sequence 33, 43, 53,..

User HenryM
by
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1 Answer

1 vote

Answer:


a_(n) = 10n + 23

Explanation:

there is a common difference between consecutive terms in the sequence, that is

43 - 33 = 53 - 43 = 10

this indicates the sequence is arithmetic with explicit formula


a_(n) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 33 and d = 10 , then the explicit formula is


a_(n) = 33 + 10(n - 1) = 33 + 10n - 10 = 10n + 23

User Aaron Fischer
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