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 .

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

the monthly balance will be $75,000