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5. Arithemetic Progressions
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Q20 of 49 Page 105

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

Here, a = 5, d = 1.75 and an = 20.75


We know, an = a + (n -1)d


20.75 = 5 + (n – 1)1.75


(n – 1)1.75 = 20.75 – 5


(n – 1)1.75 = 15.75


n – 1 = 15.75/1.75 = 9


n = 10


More from this chapter

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18

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is44. Find the first three terms of the AP.

19

SubbaRao started work in 1995 at an annual salary of Rs 5000 and received an incrementof Rs 200 each year. In which year did his income reach Rs 7000?

1

Find the sum of the following APs:

(i) 2, 7, 12, . . ., to 10 terms.


(ii) –37, –33, –29, . . ., to 12 terms.


(iii) 0.6, 1.7, 2.8, . . ., to 100 terms.


(iv)

2

Find the sums given below :

(i)


(ii)


(iii)

Questions · 49
5. Arithemetic Progressions
1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5
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