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Question

Study the following pattern:
$$1+3 =2 \times 2$$
$$1+ 3+5 = 3 \times 3$$
$$ 1+ 3+7 = 4 \times4$$
$$1+ 3 + 5 + 7 + 9 = 5 \times 5 $$
By observing the above pattern, find
(i) $$1+ 3 + 5 + 7+ 9 +11$$
(ii) $$ 1+3+5+7+9+11+13+15 $$
(iii) $$21+ 23 + 25 + + 51$$

Solution
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Similar Questions
Q1
Study the following pattern:

1 + 3 = 2 × 2
1 + 3 + 5 = 3 × 3
1 + 3 + 5 + 7 = 4 × 4
1 + 3 + 5 + 7 + 9 = 5 × 5

By observing the above pattern, find

(i) 1 + 3 + 5 + 7 + 9 + 11
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15
(iii) 21 + 23 + 25 + ........ + 51
View Solution
Q2

In the following, observe the pattern and fill in the blanks.

I + 3 = 4 = 22
1+ 3 + 5 = 9 = 32
1+ 3 + 5 +7 = 16 = 42
1+ 3 + 5 +7 +9 =_______ = _______
1+ 3 + 5 +7 +9 + 11+ 13+ 15 =______=________


View Solution
Q3
Without adding, find the sum:
(i) (1 + 3 + 5 + 7 + 9 + 11 + 13)
(ii) (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19)
(iii) (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23)
View Solution
Q4

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

View Solution
Q5
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
View Solution