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Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nthweek, her week, her weekly savings become Rs 20.75, find n.
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Solution
Given that,
a = 5
d = 1.75
an = 20.75
n = ?
an = a + (n − 1) d
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.
Concept: nth Term of an AP
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