Question from Book

<p>The first term of the sequence is 3/4, the second term is 3/2
Find out the 17th term</p>

<p>Find the Sum of the first 15 terms</p>

<p>Most likely, this is a geometric progression with initial term a=3/2 and common ratio 1/2. Since its only two terms given, it can be a lot of other progressions, such as an AP with a=3/2 and d=-3/4, so the language of the question isnt exactly perfect, but assuming it is a GP (since SAT questions are normally that simple).</p>

<p>17th Term is a * r^(17-1) = 3/(2^17)
Sum upto 15 terms = 3*(1-((1/2)^15))) using the GP formula</p>

<p><a href="http://en.wikipedia.org/wiki/Geometric_progression%5B/url%5D"&gt;http://en.wikipedia.org/wiki/Geometric_progression&lt;/a&gt;&lt;/p>