Question 39188: I am not sure if this question is in the proper place, but somebody please help. I do not understand.
Using the index of a series as the domain and the value of the series as the range, is a series a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Using the index of a series as the domain an dthe value of the series as the range, is the series a function?
Include in ans:
Which one of the basic functions(linear, quadratic, rational, or exponential) is related to the arithmetic series?TN=A+(N-1)*D.............LINEAR EQN.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?TN=A*R^(N-1)............EXPONENTIAL
Give real life examples of both arithmetic and geometric sequences and series. Explain how these might affect you personally?
REAL LIFE EXAMPLES...
ARITHMATIC / PROGRESSION/SERIES....A.P.
SUPPOSE YOU ARE SAVING YOUR MONEY IN A BANK BY
SYSTEMATIC PLAN OF
DEPOSITING 100 $ A MONTH...THEN STARTING WITH A 100$
ACCOUNT YOUR
MONEY IN CREDIT WITHOUT INTEREST ,WOULD BE AN EXAMPLE
OF A.P...IT
WILL BE..... TAKING MONTH AS AN INDEX...
100,200,300,400......
GEOMETRIC PROGRESSION/SERIES.....G.P.
IN A SIMILAR WAY SUPPOSE YOU DEPOSITED 1000 $ IN A
BANK FOR INTEREST
OF 4% PER YEAR,AND THE INTEREST IS CALCULATED AT THE
END EVERY YEAR
AND ADDED TO THE PRINCIPAL,THEN THE AMOUNT GROWN AT
THE END OF YEAR IS
AN EXAMPLE OF G.P.TAKING YEAR AS N INDEX....THE AMOUNT
AT THE END OF
SUCCESSIVE YEARS IS .....
1000,1000*1.04,1000*1.04^2,1000*1.04^3....ETC...
KNOWING THAT A G.P WILL YIELD MORE THAN A.P. ,WE BETTER PUT OUR MONEY IN INTERESTING EARNING SECURITY THAN AT HOME WHERE NO INTEREST ACCRUES.
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