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give sequence 1,8,27,64 at what nth term will the number become 1,000 ​

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RKTMOBILEZGO

Sequence:

1, 8, 27, 64

Pattern:

cube the nᵗʰ term number to get the current number

nᵗʰ rule formula:

aₙ = n³

let's check if our nᵗʰ rule formula is correct,

if n= 3

a₃ = (3)³

a₃ = 27 TRUE

if n= 4

a₄ = (4)³

a₄ = 64 TRUE

now it's time to solve for n, that will give us aₙ = 1000

aₙ = (n)³

1000 = n³

[tex]n \: = \sqrt[3]{1000} \\ \\ n \: = \: 10[/tex]

so the 10ᵗʰ term will give a value of 1000

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