The 2nd term in a geometric sequence is -4 and the 5th term is 32

Answer 1

a + ar + a r^2 + a r^3 + a r^4

ar = -4
a r^4 = 32

a = -4/r

(-4/r) r^4 = 32

r^3 = -8
so r = -2
and a = 2