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22 November, 08:06

Write a rul for the sequence. Then find the unknown term

3/10, 2/5 blank 3/5, 7/10

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  1. 22 November, 08:28
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    The constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.

    And this is the rule:

    aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10

    Step-by-step explanation:

    Let's find the unknown term and the sequence:

    1st term = 3/10

    2nd term = 2/5 = 4/10

    3rd term = x

    4th term = 3/5 = 6/10

    5th term = 7/10

    As we can see the constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.

    And this is the rule:

    aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10

    a₂ = a₁ + 1/10 ⇒ a₂ = 4/10 = 2/5 (Simplifying)

    a₃ = a₂ + 1/10 ⇒ a₃ = 5/10 = 1/2 (Simplifying)

    a₄ = a₃ + 1/10 ⇒ a₄ = 6/10 = 3/5 (Simplifying)

    a₅ = a₄ + 1/10 ⇒ a₅ = 7/10
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