Question

I need you help please

In each of the​ following, list three terms that continue the arithmetic or geometric sequences. Identify the sequences as arithmetic or geometric.
a. 2,4,8,16,32
b. 1,7,13,19,25
c.14,20,26,32,38

a. The next three terms of 2,4,8,16,32 are------- , --------, and --------. ​(Use ascending​ order.)

Answer 1

Let's start by identifying whether the given sequence is arithmetic or geometric.

For the sequence 2, 4, 8, 16, 32, we can observe that each term is obtained by multiplying the previous term by 2. Since there is a common ratio between the terms, this sequence is geometric.

Now, let's find the next three terms of the sequence. To do this, we'll continue the pattern of multiplying each term by 2:

2 x 2 = 4
4 x 2 = 8
8 x 2 = 16

Therefore, the next three terms of the sequence 2, 4, 8, 16, 32 are 64, 128, and 256.