Find sum of all odd numbers between 10 and 200. By arithmetic progression
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a = 11
d = 2
l = 199
n = ?
s = ?
l = a + (n - 1)d
199 = 11 + 2n - 2
199 = 9 + 2n
190 ÷ 2 = n
n = 95
s = 95/2 [2a + (n - 1)d]
s = 95/2[22 + 94 × 2]
s = 95/2 (22 + 188)
s = 95/2(210)
s = 95 × 105
s = 9975
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