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An arithmetic sequence has this recursive formula:

A1=6
An=an-1-3
What is the explicit formula for this sequence?

An arithmetic sequence has this recursive formula: A1=6 An=an-1-3 What is the explicit-example-1
User Nisam
by
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2 Answers

3 votes

Answer:

A

Explanation:

Sn=a(n-1) d

this formula for Calculating arithmetic sequence

User Bart Hoekstra
by
7.8k points
4 votes

Answer: D.
a_n=6+(n-1)(-3)

Explanation:

Given : An arithmetic sequence has this recursive formula:


a_1=6 \ \ \; \ a_n=a_(n-1)-3

Using the given information, Second term of arithmetic sequence will be :-


a_2=a_(1)-3=6-3=3

That means common difference =
a_2-a_1=3-6=-3

The explicit formula for arithmetic sequence is given by :-


a_n=a+(n-1)d, where a is the first term and d is the common difference.

Put a= 6 and d= -3, we get

The explicit formula for this sequence :-


a_n=6+(n-1)(-3)

User Arthur Burkhardt
by
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