Respuesta :
Answer: 2,147,483,648
Step-by-step explanation: Long number, but the pattern is to keep multiplying the previous number by 4
The 15th term of the geometric sequence 8, 32, 128.... is 2147483648
How to find the terms in a geometric sequence?
aₙ = arⁿ⁻¹
where
- a = first term of the geometric series
- r = common ratio
- n = number of terms
Therefore,
a = 8
r = 32 / 8 = 128 / 32 = 4
Hence,
a₁₅ = 8 × 4¹⁵⁻¹
a₁₅ = 8 × 4¹⁴
a₁₅ = 8 × 268435456
a₁₅ = 2147483648
learn more on geometric sequence here: https://brainly.com/question/20101055
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