Question

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

Answer 1

Answer:

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?

Step-by-step explanation: