Select the function that represents an arithmetic sequence.

a. a (n) = p (1 + i) n - 1, where n is a positive integer

b. a (n) = p + (n - 1) i • p, where n is any real number

c. a (n) = p + (n - 1) i • p, where n is a positive integer

d. a (n) = p (1 + i) n - 1, where n is any real number

Question

Meghan Villarreal

Mathematics

24 January, 09:03

Select the function that represents an arithmetic sequence.

a. a (n) = p (1 + i) n - 1, where n is a positive integer

b. a (n) = p + (n - 1) i • p, where n is any real number

c. a (n) = p + (n - 1) i • p, where n is a positive integer

d. a (n) = p (1 + i) n - 1, where n is any real number

+3

Answers (1)

Know the Answer?

Katelynn Warren · Answer 1

Because n must be a positive integer we can eliminate b and d. Assume i=√-1.

Of the two remaining options, c has the correct format for an AP with constant difference ip.

Select the function that represents an arithmetic sequence.a. a (n) = p (1 + i) n - 1, where n is a positive integerb. a (n) = p + (n - 1) i • p, where n is any real numberc. a (n) = p + (n - 1) i • p, where n is a positive integerd. a (n) = p (1 + i) n - 1, where n is any real number

Select the function that represents an arithmetic sequence.

a. a (n) = p (1 + i) n - 1, where n is a positive integer

b. a (n) = p + (n - 1) i • p, where n is any real number

c. a (n) = p + (n - 1) i • p, where n is a positive integer

d. a (n) = p (1 + i) n - 1, where n is any real number