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The sum of first 20 terms of the sequ...

The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, .. , is (1) `7/9(99-10^(-20))` (2) `7/(81)(179+10^(-20))` (3) `7/9(99+10^(-20))` (3) `7/(81)(179-10^(-20))`

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To find the sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ..., we can observe that the terms can be expressed in a more manageable form. ### Step-by-Step Solution: 1. **Identify the Pattern**: The sequence can be expressed as: - 1st term: 0.7 = 0.7 - 2nd term: 0.77 = 0.7 + 0.07 ...
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JEE MAINS PREVIOUS YEAR-SEQUENCES AND SERIES-All Questions
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  2. The sum of the series 1/(2!)-1/(3!)+1/(4!)-... upto infinity is (1...

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  3. The average marks of boys in a class is 52 and that of girls is 42....

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  4. The first two terms of a geometric progression add up to 12. The su...

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  5. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

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  6. A person is to count 4500 currency notes. Let an denote the number ...

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  7. A man saves Rs. 200 in each of the first three months of his service. ...

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  8. If 100 times the 100^(t h) term of an AP with non zero common diffe...

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  9. Statement 1: The sum of the series 1""+""(1""+""2""+""4)""+""(4""+"...

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  10. If x, y, z are in A.P. and t a n^(-1)x ,""t a n^(-1)y""a n d""t a n...

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  11. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, .. , is...

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  12. Three positive numbers from an increasing G.P. If the middle term i...

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  13. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

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  14. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">"...

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  15. The sum of first 9 terms of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3...

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  16. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

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  17. If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P...

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  18. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2...

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