Question

Create sequences with five terms based on the given information.

a. An arithmetic sequence with a first term of –3 and a constant difference of –5

b. A geometric sequence with a first term of (4)/(3) and a constant ratio of 4

Answer 1

Explanation:

arithmetic sequence formula is:

An=A1+(n-1)d

d represents the common difference, while A1 the first term

thus, the formula for this sequence is:

An=-3+(n-1)*(-5)

geometric sequence formula is:

An=A1*r^(n-1)

r represents common ratio, while A1 the first term

thus, the formula for this sequence is:

An=(4/3)*4^(n-1)