SECOND, SUBSTITUTE 11 – 2PFOR QIN THE OTHERTERM BY A CONSTANT NUMBE...

2. Second, substitute 11 – 2pfor qin the otherterm by a constant number, there is a constant ratioequation and solve:between the terms. Sequences that have a constantp+ 2(11 – 2p) = 13ratio between terms are called geometric sequences.p+ 22 – 4p= 13On the SAT, you may, for example, be asked to22 – 3p= 13find the thirtieth term of a geometric sequence like the22 = 13 + 3pone above. There is not enough time for you to actu-9 = 3pally write out all the terms, so you should notice thep= 3pattern: