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

the answer is 31.27mph