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An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4

What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5

An arithmetic sequence has this recursive formula A15 An An14 What is the explicit formula for this sequence A an 1 n 54 B an5 n 14 C an 5 n41 D an 4 n 15 class=

Respuesta :

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given  A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,

aₙ = a₁ + (n-1)d

Aₙ= 5+(n-1)(-4)

Hence, the correct option is B.

Learn more about Arithmetic sequence:

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