Question

An arithmetic sequence has this recursive formula:

Answer 1

Answer:

A

Step-by-step explanation:

Sn=a(n-1) d

this formula for Calculating arithmetic sequence

Answer 2

Answer:  D. $a_n=6+(n-1)(-3)$

Step-by-step 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 :-

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