The sequence 5, 10, 20, 40 … shows the number of “likes” on a viral video each day starting with the day it was published. a) what is the recursive rule for the sequence? b) what is the explicit rule for the sequence?

a) , where .

b)  

Step-by-step explanation:

The given sequence is

.

The first term of the sequence is

The second term is

The common ratio for this sequence can be determined using any two consecutive terms in the sequence.

Using the first two terms, the common ratio is

a) The recursive rule is given by,

, where .

b) The explicit rule is given by

answer:

your answer is: c. 196 7/8 in^3.

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.