Answer
a)3
b)-1
c)787
d)2639
Work Step by Step
a)put n=0 in aₙ=2·(−3)ⁿ+5ⁿ
aₒ=2·(-3)0+5°=2·1+1=3
b) put n=1 in aₙ=2·(−3)ⁿ+5ⁿ
a₁=2·(-3)¹+5¹=2·(-3)+5=-1
c)put n=4 in aₙ=2·(−3)ⁿ+5ⁿ
a₄ = 2 · (-3)⁴ + 5⁴ = 2 · 81+625 = 787
d) put n=5 in aₙ=2·(−3)ⁿ+5ⁿ
a₅ = 2 · (-3)⁵ + 5⁵ = 2 · (-243) + 3125 = 2639