Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1. ) $$a _ { 1 } = 7 , a _ { k + 1 } = a _ { k } - 1$$
A) $a _ { n } = 8 - n ; 7,6,5,4,3$
B) $a _ { n } = 7 ; 7,7,7,7,7$
C) $a _ { n } = 9 - n ; 6,5,4,3,2$
D) $a _ { n } = 8 n ; 7,21,28,35,42$
E) $a _ { n } = 7 ( n - 1 ) ; 7,14,21,28,35$

Question

Write the first five terms of the sequence defined recursively.Use the pattern to write the nth term of the sequence as a function of n.(Assume that n begins with 1. ) $$a _ { 1 } = 7 , a _ { k + 1 } = a _ { k } - 1$$
A) $a _ { n } = 8 - n ; 7,6,5,4,3$ ​
B) $a _ { n } = 7 ; 7,7,7,7,7$ ​
C) $a _ { n } = 9 - n ; 6,5,4,3,2$ ​
D) $a _ { n } = 8 n ; 7,21,28,35,42$ ​
E) $a _ { n } = 7 ( n - 1 ) ; 7,14,21,28,35$ ​

Quizplus · Accepted Answer

The sequence starts at 7 and decreases by 1 each step. The first five terms are 7, 6, 5, 4, 3. The nth term is $a_n = 7 - (n - 1) = 8 - n$, matching option A.

Write the First Five Terms of the Sequence Defined Recursively a1=7,ak+1=ak−1a _ { 1 } = 7 , a _ { k + 1 } = a _ { k } - 1a1​=7,ak+1​=ak​−1

Write the First Five Terms of the Sequence Defined Recursively $a _ { 1 } = 7 , a _ { k + 1 } = a _ { k } - 1$