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Question -

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



Answer -

Given that, Ramkali saved Rs.5 in first weekand then started saving each week by Rs.1.75.

Hence,

First term, a = 5

and common difference, d = 1.75

Also given,

a= 20.75

Find, n = ?

As we know, by the nth termformula,

an = a+(n−1)d

Therefore,

20.75 = 5+(n -1)×1.75

15.75 = (n -1)×1.75

(n -1) = 15.75/1.75 = 1575/175

= 63/7 = 9

n -1 = 9

n = 10

Hence, n is 10.

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