Home
Class 8
MATHS
Without adding, find the sum. (i) 1+3+5+...

Without adding, find the sum. (i) `1+3+5+7+9` (ii) `1+3+5+7+9+l1+13+15+17+19`

Text Solution

Verified by Experts

Sum of `n` cosecutive odd numbers `=n^2`
(i) `1+3+5+7+9`
Here, `n=5`
Therefore, `1+3+5+7+9=5^2=25`
(ii) `1+3+5+7+9+11+13+15+17+19`
Here, `n=10`
Therefore, `1+3+5+7+9+11+13+15+17+19=10^2=100`
Promotional Banner

Topper's Solved these Questions

  • SQUARES AND SQUARE ROOTS

    NCERT ENGLISH|Exercise EXERCISE 6.4|9 Videos
  • SQUARES AND SQUARE ROOTS

    NCERT ENGLISH|Exercise EXERCISE 6.2|2 Videos
  • RATIONAL NUMBERS

    NCERT ENGLISH|Exercise EXERCISE 1.1|11 Videos
  • UNDERSTANDING QUADRILATERALS

    NCERT ENGLISH|Exercise EXERCISE 3.3|11 Videos

Similar Questions

Explore conceptually related problems

Without adding, find the sum: i) 1+3+5+7+9\ ii) \ 1+3+5+7+9+11+13+15+17+19 iii) 1+3+5+7+9+11+13+15+17+19+21+23

Without doing the actual addition, find the sum of: (i) 1 + 3 + 5 + 7 + 9 + 11+ 13 + 15 + 17+ 19 + 21 + 23 (ii) 1 + 3 + 5 + 7 + 9 + ......+39 + 41 (iii) 1 + 3 + 5 + 7 + 9 + ......+51 + 53

Find the sum: 5/9+\ 6+1 5/7

The inter - quartile range of the data 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Find the sum to infinity of the G.P. (i) 2, (2)/(3), (2)/(9),…. (ii) 5, - 1, (1)/(5), …

Find the sum : (i) 5/4 + ((-11)/(4)) , (ii) 5/3 + 3/5 , (iii) (-9)/(10) + 22/15 (iv) (-3)/(-11) + 5/9 , (v) (-8)/(19) + ((-2))/(57) , (vi) (-2)/(3) + 0 (vii) -2'1/3 + 4'3/5

Find the mean deviation from the mean for the following data: Size: 1 3 5 7 9 11 13 15 Frequency: 3 3 4 14 7 4 3 4

Find the mean deviation from the mean for the following data: Size: 1 3 5 7 9 11 13 15 Frequency: 3 3 4 14 7 4 3 4

Find the sum to n terms (i) 1 + (1)/(3) + (1)/(9)+... (ii) 5 + 55 + 555+ ....

Find the mode of the following data: (i) 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (ii) 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (iii) 15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15