What is the next term of the geometric sequence?
40/27,20/9,10/3,

the next term. Is 5

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 40/27

r = 40/9 ÷ 40/27 = 20/9 × 27/40 = 3/2

n = 4 because the next term is the 4th term

The 4th term, T4 is

T4 = 40/27 × (3/2)^(4 - 1)

T4 = 40/27 × (3/2)^3

T4 = 40/27 × 27/8

T4 = 40/8

T4 = 5

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