State whether each sequence is arithmetic and justify your answer. if the sequence is arithmetic, write a recursive and an explicit formula to represent it. part a: 52,40,28,16 part b: 2,4,8,16,32 part c: 1/4,3/4,5/4,7/4,9/4 part d: 1.1,1.5,1.9,2.3,2.7

Part A

Part B

Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

Part D:

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

Explicit Formula

To write an explicit formula is to write it as function.

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

Part B

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

Arithmetic Sequence, difference

Explicit Formula:

Recursive Formula

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

Recursive Formula

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles