Here are the first two terms ot a geometric sequence 2,4. What are the next three terms?

Answer: the next three terms are 8, 16 and 32

Step-by-step explanation:

A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a common ratio. The formula for the nth term, Tn of a geometric sequence is expressed as

Tn = ar^ (n - 1)

Where

r is the common ratio

n is the number of terms

the first two terms of a geometric sequence 2,4. Therefore

a = 2

r = 4/2 = 2

The formula becomes

Tn = 2 * 2^ (n - 1)

To determine the third term, n = 3. So,

T3 = 2 * 2^ (3 - 1) = 2 * 2^2

T3 = 8

To determine the fourth term, n = 4. So,

T4 = 2 * 2^ (4 - 1) = 2 * 2^3

T4 = 16

To determine the fifth term, n = 5. So,

T5 = 2 * 2^ (5 - 1) = 2 * 2^4

T4 = 32

4, 8 and 6, 12 and 8,16