Find an explicit rule for the nth term of the sequence.
7, -7, 7, -7, (5 points)
select one:
a. an = 7 • (-1)n-1
b. an = 7 • (-1)n
c. an = 7 • 1n-1
d. an = 7 • 1n+1

(a) The ONLY explicit rule for the nth term of the sequence is .

Step-by-step explanation:

Here, the given sequence is 7, -7, 7, -7, ...

The first term = 7, Second term = -7, Third term =-7 and so on..

Now check the given sequence for each given formula, we get:

(1)  

Now, for n = 1 :

Similarly, for, n = 2:  

Hence, the given formula satisfies the given sequence.

(2)  

Now, for n = 1 :

But, First term = 7

Hence, the given formula DO NOT satisfy the given sequence.

(3)  

Now, for n = 1 :

Similarly, for, n = 2:  

But, Second term = -7

Hence, the given formula DO NOT satisfy the given sequence.

(4)

Now, for n = 1 :

Similarly, for, n = 2:  

But, Second term = -7

Hence, the given formula DO NOT satisfy the given sequence.

So, the ONLY explicit rule for the nth term of the sequence is .

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

a

step-by-step explanation:

strong negative correlation