Question

HELP PLEASE!!

Answer 1

Answer:

$a_{n}=(-3n + 7)$ is the answer.

Step-by-step explanation:

Here the recursive rule for an arithmetic sequence is

a1 = 4

$a_{n}=a_{n-1}-3$

Therefore the sequence will be

4, 1, -2, -5........ n terms

For this arithmetic sequence the explicit rule will be

$a_{n}=a_{1}+(n-1)d$

Here n = number of terms

a1 = first term = 4

d = common difference = -3

$a_{n}=4+(n-1)(-3)= 4 - 3(n-1) = 4 - 3n + 3 = (7 - 3n)$

Therefore explicit rule for this sequence is $a_{n}=(-3n + 7)$

Answer 2

The explicit rule for this sequence is -3n+7 I just finished the test.