Question

list the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
a. 48, 80, 128
b. 64, 96, 160
c. 64, 128, 256
d. 46, 92, 184

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Identify the sequence pattern

The given sequence is \(1, 2, 4, 8, 16, 32, \dots\). Notice that each term is obtained by multiplying the previous term by \(2\) (i.e., \(1\times2 = 2\), \(2\times2 = 4\), \(4\times2 = 8\), etc.).

Step2: Calculate the next three terms

• The next term after \(32\) is \(32\times2 = 64\).
• The term after \(64\) is \(64\times2 = 128\).
• The term after \(128\) is \(128\times2 = 256\).

Step3: Match with the options

The next three terms \(64, 128, 256\) correspond to option c.

Answer:

C. 64, 128, 256