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Question

# A village has 4000 literate people in the year 2010 and this number increases by 400 per year. How many literate people will be there till the year 2020? Find a formula to know the number of literate people after n years?

A
7200,200n+3800
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B
7800,800n+3100
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C
7700,600n+3300
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D
7600,400n+3600
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Solution

## The correct option is B 7600,400n+3600Since the number of literate people increased by 400 every year then the population of literate people every form an A.P.No. of people in year 2010 (a)=4000Increment in population every year(d)=400No. of year from 2010-2120(n)=10tn=a+(n−1)dt10=4000+(10−1)400t10=4000+3600t10=7600∴ 7600 literate people till year 2020.tn=a+(n−1)dtn=4000+(n−1)400tn=4000+400n−400tn=3600+400n∴ There are (3600+400n) people literate after n years.

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