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 nth week, fher weekly savings become Rs 20.75, find n.

Subject

Maths

Standard

Class 10

Views

1300

Asked By

Alexandria

Krishav
Answer / Solution

Solution:

Given that, Ramkali saved Rs.5 in the first week and then started increasing her savings each week by Rs.1.75.

Hence, First term, a = 5 and the common difference is d = 1.75

Also given, an = 20.75 then Find the value of n, i.e. n = ?

As we know, by the nth term formula, 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, the value if n is 10.

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