Need to know how to solve these to find out the sequence for the first five terms

Step-by-step explanation:

for that simple request there is nothing to solve, just to follow.

follow the functional definitions given.

we know d(1) and f(1). and you need the first 5 items ?

just calculate d(2) and f(2). from there then d(3) and f(3). and so on.

d(1) = 1

d(2) = d(1)² + 1 = 1 + 1 = 2

d(3) = d(2)² + 1 = 4 + 1 = 5

d(4) = d(3)² + 1 = 25 + 1 = 26

d(5) = d(4)² + 1 = 676 + 1 = 677

f(1) = 1

f(2) = f(1) + 2×2 - 2 = 1 + 4 - 2 = 3

f(3) = f(2) + 2×3 - 2 = 3 + 6 - 2 = 7

f(4) = f(3) + 2×4 - 2 = 7 + 8 - 2 = 13

f(5) = f(4) + 2×5 - 2 = 13 + 10 - 2 = 21

i believe the answer is letter c) 8

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.