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Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n

Q : 20       Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by  Rs \small 1.75.  If in the \small nth week, her weekly savings become Rs \small 20.75, find \small n

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It is given that 
Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by  Rs \small 1.75
Therefore, a = 5 \ and \ d = 1.75
after  \small nth week, her weekly savings become Rs \small 20.75
Now, we know that 
a_n = a +(n-1)d
\Rightarrow 20.75= 5+(n-1)1.75
\Rightarrow 15.75= 1.75n-1.75
\Rightarrow 1.75n=17.5
\Rightarrow n=10
Therefore, after 10 weeks her saving will become Rs 20.75

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