An arithmetic sequence has this recursive formula: a1=9
an=an-1 -3
What is the explicit formula for this sequence?
A. an=9+(n-1)(-3)
B. an=-3+(n-1)9
C. an=9+(n-3)(-1)
D. an=-1+(n-9)(-3)

The correct answer is:

Option A. a_n=9+(n-1)(-3)

Step-by-step explanation:

Given that

a1 = 9

We can see that in recursive formula the next term is being obtained by subtracting 3 from previous term

That means that the common difference is -3

We also know the first term

The general form of explicit formula for an arithmetic sequence is:

We know that a1 = 9 and d = -3

Putting the values we get

Hence the correct answer is:

Option A. a_n=9+(n-1)(-3)

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation:

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: