Question

Find these terms of the sequence {an}, where an =

2 · (−3)n + 5n.

a) a0

b) a1

c) a4

d) a5

Answer 1

Let us find these terms of the sequence $(a_n),$ where $a_n = 2 · (−3)^n + 5n.$

a) It follows that $a_0 = 2 · (−3)^0 + 5\cdot 0=2.$

b) It follows that $a_1 = 2 · (−3)^1 + 5\cdot 1=-6+5=-1.$

c) It follows that $a_4 = 2 · (−3)^4 + 5\cdot 4=162+20=182.$

d) It follows that $a_5 = 2 · (−3)^5 + 5\cdot 5=-486+25=-461.$