मराठी

The sum of first n natural numbers is given by 12n2+12n. Find the sum of first 11 natural numbers. - Mathematics

Advertisements
Advertisements

प्रश्न

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.

बेरीज
Advertisements

उत्तर

Given, sum of first n natural numbers = `1/2n^2 + 1/2n`

Sum of first 11 natural numbers = `1/2(11)^2 + 1/2(11)`  ...[Put n = 11]

= `1/2 xx 121 + 11/2`  

= `121/2 + 11/2`

= `132/2`

= 66

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Algebraic Expressions - Exercise [पृष्ठ ३२६]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
पाठ 10 Algebraic Expressions
Exercise | Q 86. (ii) | पृष्ठ ३२६

संबंधित प्रश्‍न

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be n, the number of segments required to
form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind −


Write down the following in the product form: x2y4


Write down the following in the product form: 9xy2z


If 11 is subtracted from 4 times a number, the result is 89. Find the number.


The sum of three consecutive odd numbers is 21. Find the numbers.


Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?


Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.


A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.


A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.


The area of a square having each side x is ______.


If I spend f rupees from 100 rupees, the money left with me is ______ rupees.


If m is a whole number, then 2 m denotes a multiple of 2.


The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l. 

(Hint: A regular hexagon has all its six sides equal in length.)


The side length of the top of square table is x. The expression for perimeter is ______.


The expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.


The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.


The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.


The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.


If = `3/4x - 2` and = x + 6, then find the value of:

2 – `3/2`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×