Question

Find the first six terms of the sequence.

a1 = -2, an = 3 • an-1

-6, -18, -54, -162, -486, -1458
-2, -6, -18, -54, -162, -486
-2, -6, -3, 0, 3, 6
0, 3, -6, -3, 0, 3

Answer 1

`a_1=-2\\\\a_n=3\cdot a_(n-1)\\-----------------------------------\\a_1=-2\\\\a_2=3\cdot a_(2-1)=3\cdot a_1\to a_2=3(-2)=-6\\\\a_3=3\cdot a_(3-1)=3\cdot a_2\to a_3=3(-6)=-18\\\\a_4=3\cdot a_(4-1)=3\cdot a_3\to a_4=3(-18)=-54\\\\a_5=3\cdot a_(5-1)=3\cdot a_4\to a_5=3(-54)=-162\\\\a_6=3\cdot a_(6-1)=3\cdot a_5\to a_6=3(-162)=-486\\\\Answer:\ \boxed{-2,\ -6,\ -18,\ -54,\ -162,\ -486}`