Posted by alicia on Monday, May 31, 2010 at 7:42pm.
how do i solve the sum of the first two terms of an arithmetic sequence is 16. the sum of the second and third term is 28. determine the first three terms, algebraically

math sequences and series  Damon, Monday, May 31, 2010 at 9:20pm
a1 + a2 = 16
a2 + a3 = 28
and since it is an arithmetic sequence
a2  a1 = a3  a2
or
a2 = (a1+a3)/2 (the average of course)
substitute back
a1 + (a1+a3)/2 = 16
(a1+a3)/2 + a3 = 28
solve those two equations for a1 and a3, then go back and get a2