problem 259 mathcounts

label Mathematics
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schedule 1 Day
account_balance_wallet $5

The first three terms of an arithmetic sequence are p, 6 and 2p-3. What is the tenth term of this sequence?

Oct 19th, 2014

a1 = p         a2 = 6          a3 = 2p - 3

Number of terms = n = 10

Now difference = d = a2 - a1 = 6 - p 

Now  the tenth term is

        a10 = a1 + (n - 1)d

        a10 = p + (10 - 1)(6 - p)

        a10 = p + (9)(6 - p)

        a10 = p + (54 - 9p)

        a10 = p + 54 - 9p

        a10 = 54 - 8p

       Hence the tenth term is a10 = 54 - 8p

Oct 19th, 2014

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Oct 19th, 2014
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Oct 19th, 2014
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