The derived sequence of some sequence {an} is
by = an+1-An = n - 2,
and the first element of the sequence {an} is a = 0.
(a) Compute a1, a2, a3, 04, a5.
(b) Plot the points with coordinates (n, am) for n = 0,1...,5 in the Cartesian
plane.
(c) Find a formula for an
(d) Check if the formula you found in part (c) gives the values a; found in part

 

The graph shows the first three terms in a geometric sequence. What is the common ratio r? Explain or show how you determined your answer. What is the recursive formula for the sequence? What is the iterative formula for the sequence? Show how to use your answer from Part (c) to find the eighth term of the sequence.

If the following sequence is geometric, what is the common ratio? 12,22,32,42,... Choose one answer. 10 2 4 not geometric If the sequence is geometric, what is the common ratio? choose one answer 6,18,54,162,... 12 3 27 not geometric If the sequence is geometric, what is the common ratio? 500.100.20.4.... choose one answer 5 125 1/5 not geometric Which of the following is the formula for the geometric sequence? 2,6,18,54,... choose one answer an= 3(2)n-1 an = 2(4)n-1 an=2(3)n-1 Which of the following is the formula for the geometric sequence? 320,80,20,5,... choose one answer an = 320(1/4)n-1 an = 320(4)n-1 an = 4(320)n-1 Which of the following is the formula for this geometric sequence? 1,-3, 9,-27,... choose one answer an= -1 (3)n-1 an= 1(-3)n-1 an = 3(-1 )n-1 The sequence is geometric. What is the next term? 31 25, 625,125,25,... choose one answer 20 15 5 The sequence is geometric. What is the next term? 12,24,48,96,... choose one answer 186 192 288 What is the sixth term in this geometric sequence? 480,240, 120,60,.. 15 30 7.5 Give the tenth term in the geometric sequence. 2,6,18,54,... choose one answer 39,366 13,122 4,374