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Examine whether the following sequences ...

Examine whether the following sequences are in H.P. :
`{(5)/(4), (10)/(13), (10)/(18), (10)/(23),…}`

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The correct Answer is:
Yes
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Examine whether the following sequences are in H.P. : {(1)/(7), (1)/(9), (1)/(12), (1)/(16),…}

Examine whether the following sequences are in H.P. : {(3)/(2), (3)/(11), (3)/(17), (3)/(23),…}

Examine whether the following sequences are in H.P. : {(1)/(a-3b), (1)/(a-2b), (1)/(a-b), (1)/(a),…}

Examine whether the following sequences are in H.P. : {(1)/(c + 3d'), (1)/(c + 2d'), (1)/(c'), (1)/(c - 3d'),…}

Examine, whether the following numbers are rational or irrational : (10)/(10sqrt5)

Examine, whether the following numbers are rational or irrational : (sqrt2+2)^(5)

Factorise the following. 5 + 10x

Find the sum of the numbers in the nth bracket of the following sequence : (1), (2, 3), (4, 5, 6), (7, 8, 9, 10),….

State with reason wheher following functins have inverse (i) f : {1,2,3,4} to {10} with f = {(1,10), (2,10), (3,10) ,(4,10)} (ii) g: {5,6,7,8} to {1,2,3,4} with g = {(5,4) , (6,3), (7,4), (8,2)} (iii) h : {2,3,4,5} to {7,9,11,13} with h = {(2,7), (3,9) , (4, 11), (5,13)}

Which of the following is the value of .^(10)P_(3) ?

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 E (Very Short Answer Type Questions)
  1. Examine whether the following sequences are in H.P. : {(3)/(2), (3)...

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  2. Examine whether the following sequences are in H.P. : {(5)/(4), (10...

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  3. Examine whether the following sequences are in H.P. : {(1)/(7), (1)...

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  4. Examine whether the following sequences are in H.P. : {(1)/(a-3b), ...

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  5. Examine whether the following sequences are in H.P. : {(1)/(c + 3d'...

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  6. Find the H.P whose first and second terms are (1)/(3) are (1)/(5) resp...

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  7. If the 10th and 19th terms of a H.P. are (-(5)/(37)) and (-(5)/(64)) r...

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  8. If the pth term of a H.P. be q and the qth term be equal to p, show th...

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  9. What is the value of the H.M. between (a+b) and (a-b) ?

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  10. Insert two HM.s between (1)/(3) and (1)/(24).

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  11. Insert two H.M.s between (-6) and (3)/(13).

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  12. If the G.M. and H.M. of two numbers are 15 and 9 respectively, find th...

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  13. If the A.M. and H.M. of two numbers are 15 and 9(3)/(5) respectively, ...

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  14. If the ratio of G.M. of two numbers to their H.M. is 5 : 4, prove tha...

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  15. If a, b, c are in H.P., prove that, (a)/(b+c-a), (b)/(c+a-b), (c )/...

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  16. If a, b, c are in H.P., prove that, (1)/(bc), (1)/(ca), (1)/(ab) ar...

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  17. If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A...

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  18. If a, b, c are in H.P., prove that, (a)/(a-b) = (a+c)/(a-c)

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  19. If a, b, c are in A.P., show that, (bc)/(a(b+c)), (ca)/(b(c+a)) and (a...

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  20. If a^(2), b^(2), c^(2) are in A.P., show that, (b+c), (c+a), (a+b) are...

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