Question

What is the next term of the geometric sequence?
375,75,15​

Answer 1

Answer:

3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

....  Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.

Answer 2

The next (i.e the 4th) term of the geometric sequence: 375, 75, 15​ is 3

What is a geometric sequence?

This is a sequence which have common ratio between each term. It is represented as

Tₙ = arⁿ¯¹

Where

a is the first term

r is the common ratio

n is the number of term

Tₙ is the nth term

How to determine the next term

• Sequence: 375, 75, 15
• First term (a) = 375
• Common ratio (r) = 75 / 375 = 0.2
• Number of term (n) = 4

• Fourth term (T₄) =?

Tₙ = arⁿ¯¹

T₄ = 375 × 0.2⁴¯¹

T₄ = 375 × 0.2³

T₄ = 3

Learn more about geometric sequence:

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