Identify the pattern and find the next number in the pattern.
0.4, 1.2, 3.6, 10.8

32.4

Step-by-step explanation:

This is a geometric progression

The formula for geometric progression Tₙ= arⁿ⁻¹

Where a = first term

r = common ratio

n = number of term

First we need to find the common ratio

Common ratio = Tₙ/Tₙ₋₁

Using the 3rd term

Common ratio = T₃ /T₃₋₁

Common ratio = T₃ /T₂

T₃ = 3.6

T₂ = 1.2

Common ratio = 3.6/1.2

Common ratio = 3

From the question, we are to find it's 5th term

The formula is already given as :

Tₙ= arⁿ⁻¹

here a = first term

r = common ratio

n = number of terms

Where

a = 0.4

r = 3

n = 5

Therefore,

T₅ = 0.4 × 3⁵⁻¹

T₅ = 0.4 × 3⁴

T₅= 0.4 × 81

T₅ = 32.4

The next number in the pattern is 32.4

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step-by-step explanation: could you give me 5 stars