1. Find these terms of the sequence {an}, where an = 2 · (−3)n + 5n. a) a0 b) a1 c) a4 d) a5

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

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

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

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

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