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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 nth week, 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
⇒ 207.50 = 50 + (n - 1) (17.5)
⇒ 207.50 = 50 + 17.5n - 17.5
⇒ 17.5n = 207.50 + 17.5 - 50
⇒ 17.5n = 225 - 50
⇒ 17.5n = 175
⇒ n = `175/17.5`
⇒ n = 10
Hence, n is 10.
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