Write the first ten terms of the geometric sequence a1 = 3, r = 1.1 to two decimal places. Am I supposed to multiply 3 by 1.1 ten times?

Question

Mathematics

Makena Montgomery

5 September, 19:36

Write the first ten terms of the geometric sequence a1 = 3, r = 1.1 to two decimal places. Am I supposed to multiply 3 by 1.1 ten times?

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Answers (1)

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Mary Andrade · Answer 1

The general formula for geometric series is tn = a*rⁿ⁻¹. In this question, a (or a1) is 3, and r is 1.1, therefore the first ten terms would be 3*1.1⁰ (3), 3*1.1¹ (3.3), 3*1.1² (3.63) and so on up until you get to 3*1.1⁹ or 7.07.