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The n element of the sequence -1,2,-4,8?
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The n element of the sequence -1,2,-4,8?
Explanation of the sequence -1,2,-4,8


  • Introduction: The given sequence is -1,2,-4,8. It is a finite sequence that contains four terms.

  • Pattern: The given sequence does not follow any arithmetic or geometric progression. However, we can observe that each term is obtained by multiplying the previous term by -2.

  • Calculation: We can calculate each term of the sequence as follows:


    • First term: -1

    • Second term: (-1) x (-2) = 2

    • Third term: 2 x (-2) = -4

    • Fourth term: (-4) x (-2) = 8


  • Alternate representation: The given sequence can also be represented using the following formula:


    • an = (-1)n+1 x 2n-1


  • Conclusion: In conclusion, the given sequence -1,2,-4,8 is not an arithmetic or geometric progression. However, each term is obtained by multiplying the previous term by -2. The sequence can also be represented using a formula.

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The n element of the sequence -1,2,-4,8?
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