Final answer:
To find the terms of the sequence {an}, substitute the values of n into the formula an = 2 · (−3)^n + 5^n. The terms are: a0 = 3, a1 = -1, a4 = 787, a5 = 2639.
Step-by-step explanation:
To find the terms of the sequence {an}, we can substitute the values of n into the formula an = 2 · (−3)^n + 5^n. Let's calculate the values of the first few terms:
a0 = 2 · (−3)^0 + 5^0 = 2 · 1 + 1 = 3
a1 = 2 · (−3)^1 + 5^1 = 2 · -3 + 5 = -1
a4 = 2 · (−3)^4 + 5^4 = 2 · 81 + 625 = 787
a5 = 2 · (−3)^5 + 5^5 = 2 · -243 + 3125 = 2639