The sum of first 10 odd numbers
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Answered by
1
Answer:
100
Step-by-step explanation:
1st way,
1, 3, 5, _________
This series is in Arithmetic Progression
a (first term) = 1
d (common difference) = 3-1 = 2
n = 10
Sn = n/2 [2a + (n-1)d]
S10 = 10/2 [2×1 + (10-1)2]
= 5 [2 + 9×2]
= 5 ( 2 + 18)
= 5 × 20
= 100
2nd way,
First 10 odd numbers
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Their Sum
= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
= 100
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