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its sum of all odd numbers till 49
we can use AP or simply use the formula n²
here ,n² =49² =2401
we can use AP or simply use the formula n²
here ,n² =49² =2401
Answered by
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1 + 3 + 5 + 7.....+ 49 = ?
To solve this we can use Arithmetic operations:
A.P. = 1, 3, 5, .....49
a = 1
an = 49
d = 3 - 1 = 2
an = a + (n - 1)d
49 = 1 + (n - 1)2
(n - 1) = 48/2
n = 25
Sn = n/2(2a + (n - 1)d)
= 25/2(2×1 + (25 - 1)2)
= 25/2(2 + 48)
= 25/2(50)
= 25×25
= 625
Therefore,
1 + 3 + 5 +......+ 49 = 625
To solve this we can use Arithmetic operations:
A.P. = 1, 3, 5, .....49
a = 1
an = 49
d = 3 - 1 = 2
an = a + (n - 1)d
49 = 1 + (n - 1)2
(n - 1) = 48/2
n = 25
Sn = n/2(2a + (n - 1)d)
= 25/2(2×1 + (25 - 1)2)
= 25/2(2 + 48)
= 25/2(50)
= 25×25
= 625
Therefore,
1 + 3 + 5 +......+ 49 = 625
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