Question 59091: Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
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You can this r easily by taking the ratios
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
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c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
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Found 2 solutions by funmath, jayanthi:
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer: r=3
Show work in this space.
r=a2/a1=a3/a2=a4/a3 they all have the same ratio.
r=3/1=9/3=27/3=3
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b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer: a10=19683
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an=a1*r^(n-1)
a10=1(3)^(10-1)
a10=3^9
a10=19683
:
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer: S10=29524
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Sn=a1(1-r^n)/(1-r)
S10=1(1-3^10)/(1-3)
S10=(1-59049)/-2
S10=-59048/-2
S10=29524
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Happy Calculating!!!
Answer by jayanthi(5) (Show Source):
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