Dadas as sequências identifique quais são PA e a sua razão (r): Lembre-se: para ser uma PA a diferença entre dois termos consecutivos são sempre os mesmos e é chamada de razão (r). A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2,...) C) (12, 48, 84, 120,...) D) (101, 202, 303, 404,...)

A) 0

B) 1

C) 36

D) 101

Question:

Given the strings, identify which PA are and their reason (r): Remember: to be a PA the difference between two consecutive terms is always the same and is called the (r) ratio. A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2, ...) C) (12, 48, 84, 120, ...) D) (101 , 202, 303, 404, ...)

Step-by-step explanation:

PA is said to be the difference between two consecutive terms. The PA is always the same for these terms. It is also called the (r) ratio.

A) (1, 1, 1, 1, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 1

2nd term = 1

PA = 1-1

PA = 0

B) (-1, 0, 1, 2, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = -1

2nd term = 0

PA = 0- (-1) = 0+1

PA = 1

C) (12, 48, 84, 120, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 12

2nd term = 48

PA = 48 - 12

PA = 36

D) (101 , 202, 303, 404, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 101

2nd term = 202

PA = 202 -101

PA = 101