Respuesta :
Answer:
9
Step-by-step explanation:
The ratio is 1/2 so the next term would always be half of the previous one.
- 72 times 1/2 is 36
-36 times 1/2 is 18
-18 times 1/2 is 9. So the answer is 9
The next term of the geometric sequence 72,36,18 is 9.
Using the geometric progression formula,
- aₙ = arⁿ⁻¹
where
a = first term
r = common ratio
a = 72
r = 36/72 = 1/2
The next term is the 4th term. This means n = 4
Therefore,
a₄ = 72 × 1/2⁴⁻¹
a₄ = 72 × 1/2³
a₄ = 72 × 1/8
a₄ = 72/8
a₄ = 9
The next term is 9.
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