Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748... How do I find the value of r

r = -3

16th term: -516560652

Step-by-step explanation:

Let's use the formula for a geometric sequence:

, where is the nth term, is the first term, and r is the common ratio

Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :

-8748 = 4 *

-8748 = 4 *

= -2187

r = -3

So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

what are you trying to solve here

step-by-step explanation: