10-06-2021
Mathematics

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Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.

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devishri1977 devishri1977

10-06-2021

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

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