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Insert three arithmetic mean (AM) betwee...

Insert three arithmetic mean (AM) between 6 and 18.

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To insert three arithmetic means (AM) between 6 and 18, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given numbers**: We have two numbers, 6 and 18. We need to insert three arithmetic means between them. 2. **Understand the structure of the arithmetic progression (AP)**: The series will consist of five terms: the first term (T1) is 6, the second term (T2) is the first arithmetic mean (AM1), the third term (T3) is the second arithmetic mean (AM2), the fourth term (T4) is the third arithmetic mean (AM3), and the fifth term (T5) is 18. ...
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MAHAVEER PUBLICATION-SERIES-QUESTION BANK
  1. Insert three arithmetic mean (AM) between 1 and 1/16.

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  2. Insert four arithmetic mean (AM) between 4 and 19.

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  3. Insert three arithmetic mean (AM) between 6 and 18.

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  4. Is 292 a term of the A.P. series 1,4,7,10,…..? Explain.

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  5. In an A.P the 1^(st) term is 2sqrt2 and the 13^(th) term is 8sqrt2. ...

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  6. The 12^(th) term and 15^(th) term of an AP are 68 and 86 respectively....

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  7. If A.M. and GM. of two positive numbers a and b are 10 and 8, respe...

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  8. Find the sum of first n terms and the sum of first 5 terms of the geo...

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  9. Find the sum of the sequence 7, 77, 777, 7777, . . . to n terms.

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  10. How many numbers divisible by 17 are there in between 25 and 450 ?

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  11. For what value of x, the number -2/7,x ,-2/7are in G.P.?

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  12. Insert three geometric mean (GM) between 1 and 1/16.

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  13. Find three numbers in G.P. whose sum is 19 and product is 216.

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  14. If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a...

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  15. Find the 12^(th) term of the sequences -6,-18,-54,…..

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  16. Find the sum of 2+4+8+16+….. to 8 terms.

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  17. 1.3+3.5+5.7+..... n terms =

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  18. Find the value of a' if (2a+1),a,(3a+2) are in G.P?

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  19. Statement -1: The sum of the series (1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(...

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  20. Prove that x/(1!)+(2x^2)/(2!)+(3x^3)/(3!)+(4x^4)/(4!)+.....=xe^x

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