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Math Help - [SOLVED] SAT math page 653

  1. #1
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    [SOLVED] SAT math page 653

    8, 17, 26, 35, 44, ...

    The first 5 terms in a sequence are shown above. Each term after the first is found by adding 9 to the term immediately preceding it. Which term in this sequence is equal to 8+(26-1)9?

    a) the 8th
    b) the 9th
    c) the 25th
    d) the 26th
    e) the 27th

    I picked the 27th since i remembered there was a formula that was (n-1). But the correct is d) the 26th. why? Instead of writing out all the terms is there another other way? A faster way? Thanks in advance!
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  2. #2
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    Quote Originally Posted by fabxx View Post
    8, 17, 26, 35, 44, ...

    The first 5 terms in a sequence are shown above. Each term after the first is found by adding 9 to the term immediately preceding it. Which term in this sequence is equal to 8+(26-1)9?

    a) the 8th
    b) the 9th
    c) the 25th
    d) the 26th
    e) the 27th

    I picked the 27th since i remembered there was a formula that was (n-1). But the correct is d) the 26th. why? Instead of writing out all the terms is there another other way? A faster way? Thanks in advance!
    It is almost correct

    See how it is defined :

    a_{\color{red}n}=a_1+({\color{red}n}-1)r

    So if you're given 8+({\color{red}26}-1)9, can you see what {\color{red}n} is ?
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    Oh haha. Clumsy me. Thanks moo
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