Identify the explicit function for the sequence in the table

X Y

1 7

2 19

3 31

4 43

5 55

Choices:

A. a (n) = 7 (n-1)

B. a (n) = 7 + (n-1) •12

C. a (n) = 12 + (n-1) •7

D. a (n) = 12 (n-1)

Question

Caitlyn Simon

Mathematics

18 April, 01:53

Identify the explicit function for the sequence in the table

X Y

1 7

2 19

3 31

4 43

5 55

Choices:

A. a (n) = 7 (n-1)

B. a (n) = 7 + (n-1) •12

C. a (n) = 12 + (n-1) •7

D. a (n) = 12 (n-1)

+2

Answers (1)

Know the Answer?

Krista · Answer 1

The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.

The explicit formula for the terms of an arithmetic sequence is

an = a1 + d (n-1)

where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is

B. a (n) = 7 + (n-1) ·12

Identify the explicit function for the sequence in the tableX Y1 72 193 314 435 55Choices:A. a (n) = 7 (n-1)B. a (n) = 7 + (n-1) •12C. a (n) = 12 + (n-1) •7D. a (n) = 12 (n-1)

Identify the explicit function for the sequence in the table

X Y

1 7

2 19

3 31

4 43

5 55

Choices:

A. a (n) = 7 (n-1)

B. a (n) = 7 + (n-1) •12

C. a (n) = 12 + (n-1) •7

D. a (n) = 12 (n-1)