1 Explain the most significant difference between an arithmetic sequence and a geometric sequence.

2 The nth term of a a geometric sequence is given by an=27 (0.1) ^n-1. Write the first five terms of this sequence

3 Given a geometric sequence with a1=6 and r=2/3, write an explicit formula for an, the nth term of the sequence

4 A geometric sequence has a4=4 and a5=7. What is a1? Leave answer in fraction form

Question

Owen Vazquez

Mathematics

25 May, 07:03

1 Explain the most significant difference between an arithmetic sequence and a geometric sequence.

2 The nth term of a a geometric sequence is given by an=27 (0.1) ^n-1. Write the first five terms of this sequence

3 Given a geometric sequence with a1=6 and r=2/3, write an explicit formula for an, the nth term of the sequence

4 A geometric sequence has a4=4 and a5=7. What is a1? Leave answer in fraction form

+5

Answers (1)

Know the Answer?

Jayvon Barron · Answer 1

I have the EXACT same problems.

#1: "In an arithmetic sequence, the difference between one term and the next is constant. In a geometric sequence, each term after the first is found by multiplying the previous one by the common ratio."

#2: A1 = 27, A2 = 2.7, A3 = 0.27, A4 = 0.027, A5 = 0.0027

#3: An = 6 (2/3) ^n-1

I have yet to answer #4. Would you happen to know the answer?