Pregunta
The \( n \)th term of a sequence is \( n^{3} \). Write down the first 5 numbers in this sequence. The \( n \)th term of a sequence is \( 2 n^{2} \). Write down the first 5 numbers in this sequence.
Ask by Turnbull Rojas. in Greece
Feb 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The first 5 numbers in the first sequence are 1, 8, 27, 64, 125.
The first 5 numbers in the second sequence are 2, 8, 18, 32, 50.
Solución
For the first sequence, where the nth term is n³:
n = 1: 1³ = 1
n = 2: 2³ = 8
n = 3: 3³ = 27
n = 4: 4³ = 64
n = 5: 5³ = 125
So, the first 5 numbers are: 1, 8, 27, 64, 125.
For the second sequence, where the nth term is 2n²:
n = 1: 2(1²) = 2
n = 2: 2(2²) = 8
n = 3: 2(3²) = 18
n = 4: 2(4²) = 32
n = 5: 2(5²) = 50
So, the first 5 numbers are: 2, 8, 18, 32, 50.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
For the sequence where the \( n \)th term is \( n^{3} \), the first five numbers are: 1, 8, 27, 64, and 125. (This is achieved by cubing the integers 1 through 5!) In the sequence defined by \( 2 n^{2} \), the first five numbers are: 2, 8, 18, 32, and 50. (Here, you're doubling the squares of the integers 1 through 5!)
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