Question

Write out the first five terms of the sequence. The first five terms are p₀ = 260, p₁ = ?, p₂ = ?, p₃ = ?, and p₄ = ? (Round to the nearest whole number as needed.) b. Find an explicit formula

When a biologist begins a study, a colony of prairie dogs has a population of 260. Regular measurements reveal that each month the prairie dog population increases by 1%. Let pₙ be

Answer 1

The question involves finding the first five terms of a population sequence with a 1% monthly growth rate, which is a high school level mathematics topic.

Step-by-step explanation:

The subject of this question is Mathematics, more specifically it pertains to sequences and population growth models, which is typically a high school level topic in algebra or pre-calculus. The student has been tasked with finding the first five terms of a sequence where the initial population of prairie dogs is 260, and it grows by 1% each month. The sequence begins with p0 = 260, and the subsequent terms (p1, p2, p3, and p4) can be found using the growth formula pn = p0 × (1 + r)n, where r represents the growth rate as a decimal.

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