Final answer:
The first five terms of the sequence a₍ₙ = 5/2ⁿ are 5/2, 5/4, 5/8, 5/16, and 5/32. These are calculated by substituting n with values 1 through 5 into the formula.
Step-by-step explanation:
To find the first five terms of the sequence a₍ₙ = 5/2ⁿ, we will substitute n with the numbers 1 through 5 and simplify the expression for each term.
- For n = 1: a₁ = 5/2¹ = 5/2
- For n = 2: a₂ = 5/2² = 5/4
- For n = 3: a₃ = 5/2³ = 5/8
- For n = 4: a₄ = 5/2⁴ = 5/16
- For n = 5: a₅ = 5/2⁵ = 5/32
Thus, the first five terms of the sequence are 5/2, 5/4, 5/8, 5/16, and 5/32.