Concept explainers
Repeated Decimal Express the repeating decimal as a fraction.
83. Geometric Means If the numbers
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Chapter 8 Solutions
College Algebra
- A geometric sequence has the first term a1=3 and common ratio r=12 What is the 8thterm?arrow_forwardWhat are the first five terms of the geometric sequence a1=3,an=4an1arrow_forwardWrite an expression for the apparent nth term (an) of the sequence. (Assume that n begins with 1.) 31!,42!,53!,64!,75!,....arrow_forward
- What is the 11thterm of the geometric sequence 1.5,3,6,12,... ?arrow_forwardArithmetic or Geometric? The first four terms of a sequence are given. Determine whether they can be terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the fifth term. 15. 5,5.5,6,6.5,arrow_forwardAn arithmetic sequence has terms a3=11.7 and a8=14.6 . What is the first term?arrow_forward
- Fill in the blanks. The sum of a finite geometric sequence with common ratio r1 is given by sn=.arrow_forwardPollution A chemical plant discharges 2400tons of pollutants every year into an adjacent lake. Through natural runoff, 70 of the pollutants contained in the lake at the beginning of the year are expelled by the end of the year. a Explain why the following sequence models the amount An of the pollutant in the lake at the end of the nthyear that the plant is operating. An=0.30an1+2400 b Find the first five terms of the sequence An. c Find a formula for An. d How much of the pollutant remains in the lake after 6years? How much will remain after the plant has been operating a long time? e Verify your answer to part d by graphing An with a graphing calculator for n=1 to n=20.arrow_forward
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