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A man saved ₹6,60,000 in 20 years. In ea...

A man saved `₹6,60,000` in `20` years. In each succeeding year after the first year he saves `₹ 2,000` more than he saved in the previous year. How much did he save in the first year?

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Verified by Experts

Here, we have an AP in which ` S_(20) = 660000, d= 2000 ` and we have to find the value of a.
Using the formula ` S_(n) = n/2 xx [ 2a +(n-1) xx 2000]`
` Rightarrow 10xx [ 2a + 19 xx 2000] = 660000`
` Rightarrow 20a + 380000 = 660000 rRightarrow 20a = 280000 Rightarrow a= 14000`
Hence, the man saved ₹ 14000 in the first year.
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 11F (Very Short-Answer Type Questions)
  1. A man saved ₹6,60,000 in 20 years. In each succeeding year after the f...

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  2. If the sum of n terms of an AP is given by S(n) = (2n^(2)+3n) then fi...

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  3. If 9 times the 9th term of an AP is equal to 13 times the 13th term, s...

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  4. In an AP it is given that S(n)=qn^(2)and S(m) =qm^(2). " prove that "...

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  5. Find three arithmetic means between 6 and -6

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  6. If 9t h term of an A.P. is zero, prove that its 29 t h term is d...

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  7. How many terms are there in the AP 13,16,19,…., 43?

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  8. Find the 8th term from the end of the AP 7,9,11,…, 201

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  9. How many numbers of two digits are divisible by 7?

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  10. If 7th and 13th terms of an A.P. be 34 and 64 respectively, then it...

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  11. The 10th common term between the A.P.s 3,7,11,15, and 1,6,11,16,.. ...

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  12. The first and last terms of an A.P. are 1 and 11. If the sum of its...

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  13. In an AP, the pth term is q and ( p +q) term is 0. Then, prove that i...

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  14. if (3 +5+7+9+…. " up to 35 terms " )/(5+8+11+ …. " up to n terms ")=7...

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  15. Write the sum of first n even natural numbers.

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  16. Write the sum of first n odd natural numbers.

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  17. The sum of n terms of an AP is 1/2an^(2) +bn . Find the common diffe...

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  18. If the sums of n terms of two Aps are in the ratio ( 2n+3) :(3n+2) , f...

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