Here is a sequence problem that also tests your algebra:

The first term in a sequence is t. After the first term, each subsequent term is 3 greater than 1/3 of the preceding term. In terms of t, what is the ratio of the third term to the first term? (t is not equal to zero)

 

Answer: This one requires being systematic and keeping things straight.

Number in sequence:              1^st                    2^nd                                3^rd

The terms are:                          t                   3 + 1/3 t                  3 + 1/3(3 + 1/3 t)

 

The ratio of the 3^rd term to the 1^st:                  (1/9 t + 4)/t       or   1/9 + 4/t

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