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Choose the correct alternative:If a, 8, b are in A.P, a, 4, b are in G.P, if a, x, b are in HP then x is - Mathematics

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प्रश्न

Choose the correct alternative:
If a, 8, b are in A.P, a, 4, b are in G.P, if a, x, b are in HP then x is

पर्याय

  • 2

  • 1

  • 4

  • 16

MCQ

उत्तर

2

shaalaa.com
Finite Sequences
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Binomial Theorem, Sequences and Series - Exercise 5.5 [पृष्ठ २३२]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 5 Binomial Theorem, Sequences and Series
Exercise 5.5 | Q 7 | पृष्ठ २३२

संबंधित प्रश्‍न

Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`(("n" + 1)("n" + 2))/(("n" + 3)("n" + 4))`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`4 (1/2)^"n"`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`(- 1)^"n"/"n"`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

2018


Write the first 6 terms of the sequences whose nth term an is given below

an = `{{:("n" + 1,  "if"  "n is odd"),("n",  "if"  "n is even"):}`


Write the first 6 terms of the sequences whose nth term an is given below

an = `{{:(1,  "if n" = 1),(2,  "if n" = 2),("a"_("n" - 1) + "a"_("n" - 2),  "if n" > 2):}}` 


Write the first 6 terms of the sequences whose nth term an is given below

an = `{{:("n",  "if n is"  1","  2  "or"  3),("a"^("n" - 1) + "a"_("n" - 2) + "a"_("n" - 3), "if n" > 3):}`


Write the nth term of the following sequences.
2, 2, 4, 4, 6, 6, . . .


Write the nth term of the following sequences.
`1/2, 2/3, 3/4, 4/5, 5/6, ...`


The product of three increasing numbers in GP is 5832. If we add 6 to the second number and 9 to the third number, then resulting numbers form an AP. Find the numbers in GP


If a, b, c are in geometric progression, and if `"a"^(1/x) = "b"^(1/y) = "C"^(1/z)`, then prove that x, y, z are in arithmetic progression


The AM of two numbers exceeds their GM by 10 and HM by 16. Find the numbers


If the roots of the equation (q – r)x2 + (r – p)x + p – q = 0 are equal, then show that p, q and r are in AP


Choose the correct alternative:
The HM of two positive numbers whose AM and GM are 16, 8 respectively is


Choose the correct alternative:
The nth term of the sequence `1/2, 3/4, 7/8, 15/16, ...` is


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