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

Weekly savings : 5, 6.75, 8.5, ..........., 20.75 The above list is an A.P. with first term (a) = 5 and common difference (d) = 6.75 - 5 = 1.75 Given, In nth week, weekly savings become ₹20.75 ∴ a n = 20.75 ⇒ a + (n - 1)d = 20.75 ⇒ 5 + (n - 1) × 1.75 = 20.75 ⇒ 5 + 1.75n - 1.75 = 20.75 ⇒ 1.75n + 3.25 = 20.75 ⇒ 1.75n = 20.75 - 3.25 ⇒ 1.75n = 17.5 ⇒ n = Hence, n = 10.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

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Subba Rao started work in 1995 at an annual salary of ₹5000 and received an increment of ₹200 each year. In which year did his income reach ₹7000?

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Mathematics

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

AP

Related Questions

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

Subba Rao started work in 1995 at an annual salary of ₹5000 and received an increment of ₹200 each year. In which year did his income reach ₹7000?