prakesh started work in 1996 at an annual salary of 8000 and received an increment of rupee 500 each year . In wch year did s income reach rupee 17000
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The answer is given below :
We solve this problem by AP.
The sequence of income be :
8000 + 500, 8000 + 1000, ... , 17000
1st term = 8000
Common difference = 500
n-th term = 17000
=> 1st term + (n - 1)(common difference) = 17000
=> 8000 + (n-1)×500 = 17000
=> 500n - 500 = 17000 - 8000
=> 500n = 9000 - 500
=> 500n = 8500
=> n = 17
So after 17 years his salary was Rs 17000.
Therefore the required year is
(1996+17) = 2013.
Thank you for your question.
We solve this problem by AP.
The sequence of income be :
8000 + 500, 8000 + 1000, ... , 17000
1st term = 8000
Common difference = 500
n-th term = 17000
=> 1st term + (n - 1)(common difference) = 17000
=> 8000 + (n-1)×500 = 17000
=> 500n - 500 = 17000 - 8000
=> 500n = 9000 - 500
=> 500n = 8500
=> n = 17
So after 17 years his salary was Rs 17000.
Therefore the required year is
(1996+17) = 2013.
Thank you for your question.
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