Posted by **De-Graft** on Saturday, November 6, 2010 at 10:17am.

The thirteenth term of an arithmetic progrssion os 27 and the seventh term is three timees the second term. tind the first term,common difference and the sum of the first ten terms

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**Reiny**, Saturday, November 6, 2010 at 11:32am
term(13) = a+12d

so a+12d = 27 (equation #1)

term(7) = 3term(2)

a+6d = 3(a+d)

a+6d = 3a + 3d

2a - 3d = 0 (equation #2)

It is easy to solve these two equations, (see if you can get a=3, d=-2)

then use your formula for the sum of 10 terms.

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