Give the next three terms and both the explicit and recursive formula for 25, 23, 19, 11

The question really does depend on getting the explicit formula.

Explicit

t1 = 25

t2 = 23 The difference is 2 to get to 25

t3 = 19 which means that you need 6 to get back to 25

t3 = 25 - 2*3

t3 = 25 - 2*(2^(n-1) - 1)

t3 = 25 - 2*(2^(2) - 1 )

t4 = 11 which means that you need 14 to get back to 25

t4 = 25 - 2*7

t4 = 25 - 2*(2^3 - 1)

t5 = 25 - 2*(2^4 - 1)

t5 = 25 - 2*(16 - 1)

t5 = 25 - 2*15

t5 = - 5

tn = 25 - 2*(2^(n- 1) - 1)     Explicit  Answer

Recursive

t1 = 25

t2 = 23 which is t1 - 2^(n-1)

t3 = t2 - 2^(n - 1)

t3 = 23 - 2^(3 - 1)

t3 = 23 - 2^2

t3 = 23 - 4

t3 = 19

The recursive formula is

tn = t_(n -1) - 2^(n - 1)   Answer Recursive.

the answer is 62

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.