Home
Class 10
MATHS
a, b, c are in GP. If a is the first te...

`a, b, c` are in GP. If a is the first term and c is the common ratio, then `b`= __________.

A

`1`

B

`(1)/(a)`

C

`(1)/(c )`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`a, b, c` are in GP
`r= (b)/(a) = (c)/(b)`
but given that `r = c`
`rArr (c)/(b) = c rArr b =1`.
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|17 Videos

  • PERMUTATIONS AND COMBINATION

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|15 Videos

  • REMAINDER AND FACTOR THEOREMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|10 Videos

Similar Questions

Explore conceptually related problems

Sum to infinity of a GP is 15 and the sum to infinity of their squares is 45 .If a is the first term and r is the common ratio then the sum of the first 5 terms of the AP with first term a and common difference 3r is

The sum of an infinite GP is 18. If the first term is 6, the common ratio is

if a,b,c are in G.P. and 3a, 7b, 15c are first 3 term of A.P. Also the common ratio of G.P. in(0,(1)/(2)) then the 4th term of A.P is

If the sum of first n terms which are in GP is a(r+1) , then the number of terms is _____. (Where a is the first term and r is the common ratio)

if (a,b),(c,d),(e,f) are the vertices of a triangle such that a,c,e are in GP .with common ratio r and b,d,f are in GP with common ratio s, then the area of the triangle is

PEARSON IIT JEE FOUNDATION-PROGRESSIONS-LEVEL 3
  1. The numbers h1, h2, h3, h4,..., h10 are in harmonicprogression and a1...

    Text Solution

    |

  2. Find the value of (1+ (1)/(2))(1+(1)/(4))(1+(1)/(16))(1+(1)/(156))…...

    Text Solution

    |

  3. The ratio of the sum of n terms of two arithmetic progressions is give...

    Text Solution

    |

  4. There are n arithmetic means (were n in N) between 11 and 53 such that...

    Text Solution

    |

  5. If x= (1)/(sqrt2) + (1)/(2) + (1)/(2sqrt2) +… + oo, then find the val...

    Text Solution

    |

  6. In a GP of 6 terms, the first and last terms are (x^(3))/(y^(2)) and ...

    Text Solution

    |

  7. If x = 3+ (3)/(y) + (3)/(y^(2)) + (3)/(y^(3)) + … + oo, then y= .

    Text Solution

    |

  8. Find the sum of (0.3)/(0.5) + (0.33)/(0.55) + (0.333)/(0.555) + … to ...

    Text Solution

    |

  9. In a GP, if the fourth terms is the square of the second term, then th...

    Text Solution

    |

  10. For which of the following values of x is (0^(@) lt x lt 90^(@)) 16^(1...

    Text Solution

    |

  11. If t2 and t3 of a GP are p and q, respectively, then t5= .

    Text Solution

    |

  12. If a, b, c, d are in GP, then (b+c)^(2)= .

    Text Solution

    |

  13. a, b, c are in GP. If a is the first term and c is the common ratio, ...

    Text Solution

    |

  14. In a GP of 7 terms, the last term is (64)/(81) and the common ratio is...

    Text Solution

    |

  15. An AP starts with a positive fraction and every alternate term is an i...

    Text Solution

    |

  16. If the sum of 16 terms of an AP is 1624 and the first term is 500 time...

    Text Solution

    |

  17. Find the sum of the series 1+ (1+2) + (1+2+3) + (1+2 + 3 +4)+ … + (1+2...

    Text Solution

    |

  18. Evaluate sum2^(i), where i=2, 3, 4, … , 10.

    Text Solution

    |