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6 April, 08:29

Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12

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  1. 6 April, 08:33
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    -5n + 8

    Step-by-step explanation:

    1. What is the difference?

    The sequence goes down by 5. This means that the formula will have - 5n in it.

    2. Work out the term before the first term.

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

    3 + 5 = 8 Remember, this is positive 8. (+8)

    3. Put that term at the end of the equation.

    We have - 5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

    -5n + 8 This is our answer!

    Just to prove it works:

    Substitute: n = term

    Lets see if we can get the 3rd term which is - 7. (n = 3)

    -5 (3) + 8

    -15 + 8 = - 7

    See, it works!
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