Home
Class 10
MATHS
Sum of 1 to n natural numbers is 36. Fin...

Sum of `1` to `n` natural numbers is `36`. Find the value of `n`.

Promotional Banner

Topper's Solved these Questions

  • Arithmetic Progression

    CHETANA PUBLICATION|Exercise EXERCISE|73 Videos
  • BASIC CONCEPTS IN GEOMETRY

    CHETANA PUBLICATION|Exercise EXAMPLE|14 Videos

Similar Questions

Explore conceptually related problems

The sum of the squares of two consecutive natural numbers is 113. Find the numbers.

The sum of the squares of two consecutive natural numbers is 41. Find the numbers.

In the S.D. of first N natural number is sqrt2 , then the value of n must be ______.

The sum of squares of two consecutive even natural numbers is 244. Find the numbers.

The sum of squares of two consecutive even natural number is 244. Find the numbers.

Find the sum of first n natural numbers.

The sum of first n natural number is ……………………..

If S_1 , S_2 and S_3 are the sums of first n natural numbers, their squares and their cubes respectively, then show that 9S_2^2 = S_3 (1 + 8S_1) .

If S_(1) , S_(2) and S_(3) are the sums of first n natural numbers, their squares and their cubes respectively then show that - 9 S_(2) ^(2) = S _(3) (1 + 8 S _(1))

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. Sum of 1 to n natural numbers is 36. Find the value of n.

    Text Solution

    |

  2. The sequence -10,-6,-2,2,….. a)is an A.P, Reason d=-16 b)is an A.P, Re...

    Text Solution

    |

  3. First four terms of an A.P are…………, whose first term is -2 and common ...

    Text Solution

    |

  4. What is the sum of first 30 natural numbers? a)464 b)465 c)462 d)461

    Text Solution

    |

  5. For a given A.P., t7=4, d=-4 then a=……… a)6 b)-7 c)20 d)28

    Text Solution

    |

  6. For a given AP, a=3.5, d=0, n=101 then tn=………. a)0 b)103.5 c)104.5 d)...

    Text Solution

    |

  7. In an A.P, first two terms are -3, 4, then 21st term is……….a)-143 b)14...

    Text Solution

    |

  8. If for an A.P, d=5 then t18-t13=……………a)5 b)20 c)25 d30

    Text Solution

    |

  9. Sum of first five multiples of 3 is……a)45 b)15 c)55 d)35

    Text Solution

    |

  10. 15, 10, 5,…… In this A.P the sum of first 10 terms is…..a)-75 b)-125 c...

    Text Solution

    |

  11. In an A.P, 1st term is 1 and the last term is 20.The sum of all terms ...

    Text Solution

    |

  12. For the A.P: 4,9,14…… t11=…..a)49 b)54 c)59 d)44

    Text Solution

    |

  13. If a=6, d=3, then S10=……a)192 b)195 c)198 d)201

    Text Solution

    |

  14. The sum of first 10 natural numbers is ..... a)55 b)155 c)310 d)210

    Text Solution

    |

  15. Which of the following sequence is not an A.P? a)0.5,2,3.5,5,…. b)3,5,...

    Text Solution

    |

  16. Find the missing term in the A.P: -5, ...., 13 a)1 b)4 c)2 d)3

    Text Solution

    |

  17. Find the t2 of the sequence for which S1=2,S2=12 and S3=30 a)24 b)1 c)...

    Text Solution

    |

  18. For an A.P if t4=12 and d=-10, then find a. a)-18 b)42 c)-5 d)21

    Text Solution

    |

  19. The next two terms of the given sequence 1,3,7,15,31….. are: a)42, 54 ...

    Text Solution

    |

  20. In an A.P, a=8, tn=62, Sn=210, then find n. a)5 b)6 c)7 d)8

    Text Solution

    |

  21. The sum of first n terms of an A.P. is Sn=………… a)n/2[t1+tn] b)n/2[2+(n...

    Text Solution

    |