In the year 2010 in the village there were 4000 people who were literate. Every year the number of literate people increases by 400. How many people will be literate in the year 2020?
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Solution
The increase in number of literate people forms an AP.
No of Literate people in the year 2010 = 4000.
∴a=4000
Increase in literate people per year= 400.
∴d=400
No. of years from 2010 to 2020 will be n.
2020−2010=10
∴n=10
No. of literate people in 2020 will be given by formula
tn=a+(n−1)d
t10=4000+(10−1)×400
t10=4000+3600
t10=7600
The number of literate people in thee year 2020 will be 7600 people.