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

4, 8  and 6, 12 and 8,16

Step-by-step explanation:

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

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