Question

A corn farmer produces 40,000 bushels of corn in her first year of farming. Due to improved farming techniques, she increases the production by 5% each year. How many total bushels of corn did she produce in her first 4 years of farming? Round your answer to the nearest whole number.(1 point)

172,405 bushels

221,025 bushels

161,204 bushels

148,395 bushels
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Answer 1

Each year forms a geometric sequence with a1 = 40,000 and r = 1.05. Sum for 4 years:
S4 = 40,000 * (1.05^4 − 1) / (1.05 − 1) = 40,000 * (1.21550625 − 1) / 0.05 = 172,405.
Answer: 172,405 bushels.