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Arithmetic and
Geometric Sequence
WORD PROBLEMS
Example 1
Every day a radio station asks a question
for a prize of $150. If the 5th caller
does not answer correctly, the ...
What will be the prize if the
contest starts on Monday
and no one answers
correctly until friday.
Example 2
What if your pay check
started at $100 a week and
doubled every week. What
would your salary be after two
month...
Example 3
An auditorium has 20 rows of seats. There are 20 seats in the first
row, 23 seats in the second row, 26 seats in...
Example 4
. A small business sells $10,000 worth of sports materials during its first
year. The owner of the business has ...
Example 4
. A small business sells $10,000 worth of sports materials during its first
year. The owner of the business has ...
Shown in the table is the
growth of red blood cells
per minutes. Assuming
this trend continues what
will be the number of ...
Upon injecting a patient
with an anti-virus
Vaccine the number of
bacteria decreases per
minute. If the trend in the
table...
As shown in the table, the monthly
rent of an apartment depends on the
number of bedrooms. If the pattern is
extended, Wha...
Find the next three terms of 2, 3, 9/2, ___, ___, ___
3 – 2 vs. 9/2 – 3… not arithmetic
3 9/ 2 3
1.5 geometric r
2 3 2
 ...
1 9
1 2
If a ,r , find a .
2 3
 
1a First term
na nth term
nS sum of n terms
n number of terms
r commonratio
1/2
x
...
9Find a of 2, 2, 2 2,...
1a First term
na nth term
nS sum of n terms
n number of terms
r commonratio
x
9
NA
2
2 2 2
r...
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Arithmetic and geometric sequence

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Arithmetic and geometric sequence

  1. 1. Arithmetic and Geometric Sequence WORD PROBLEMS
  2. 2. Example 1 Every day a radio station asks a question for a prize of $150. If the 5th caller does not answer correctly, the prize money increased by $150 each day until someone correctly answers their question.
  3. 3. What will be the prize if the contest starts on Monday and no one answers correctly until friday.
  4. 4. Example 2 What if your pay check started at $100 a week and doubled every week. What would your salary be after two months?
  5. 5. Example 3 An auditorium has 20 rows of seats. There are 20 seats in the first row, 23 seats in the second row, 26 seats in the third row, and so on. How many seats are there in 20th row? 1 20 1 19d c   
  6. 6. Example 4 . A small business sells $10,000 worth of sports materials during its first year. The owner of the business has set a goal of increasing annual sales by $7500 each year for 20 years. Assuming that the goal is met, find the sales during the 20th year this business is in operation.
  7. 7. Example 4 . A small business sells $10,000 worth of sports materials during its first year. The owner of the business has set a goal of increasing annual sales by $7500 each year for 20 years. Assuming that the goal is met, find the sales during the 20th years this business is in operation.
  8. 8. Shown in the table is the growth of red blood cells per minutes. Assuming this trend continues what will be the number of cells in 12 minutes ? Example 5 Minutes No. of cells 1 250 2 500 3 1000
  9. 9. Upon injecting a patient with an anti-virus Vaccine the number of bacteria decreases per minute. If the trend in the table continues, what number of minutes before the bacteria will be totally gone? Example 6 Minutes No. of bacteria in the cells 1 9,000 2 3,000 3 1,000
  10. 10. As shown in the table, the monthly rent of an apartment depends on the number of bedrooms. If the pattern is extended, What is the likely cost of a 8 bedroom apartment? Example 5 Bedrooms Cost 1 $ 550 2 $ 625 3 $ 700
  11. 11. Find the next three terms of 2, 3, 9/2, ___, ___, ___ 3 – 2 vs. 9/2 – 3… not arithmetic 3 9/ 2 3 1.5 geometric r 2 3 2      3 3 3 3 3 3 2 2 2 9 2, 3, , , , 2 9 9 9 2 2 2 2 2 2       9 2, 3, , , 27 81 243 4 8 , 2 16
  12. 12. 1 9 1 2 If a ,r , find a . 2 3   1a First term na nth term nS sum of n terms n number of terms r commonratio 1/2 x 9 NA 2/3 n 1 n 1a a r   9 1 1 2 x 2 3            8 8 2 x 2 3   7 8 2 3  128 6561 
  13. 13. 9Find a of 2, 2, 2 2,... 1a First term na nth term nS sum of n terms n number of terms r commonratio x 9 NA 2 2 2 2 r 2 22    n 1 n 1a a r     9 1 x 2 2     8 x 2 2 x 16 2

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