find x: 20+19+18.......x = 200
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Answered by
0
Answer:
can you repeat the question again
Step-by-step explanation:
Answered by
5
Step-by-step explanation:
a = 20
d = -1
S = 200
S = n{2a + d(n-1)}/2
200 = n { 40 - 1(n - 1)} /2
400 = 40n - n² + n
n² - 41n + 400 = 0
n² - 16n - 25n + 400 =0
n (n - 16) - 25 (n - 16) = 0
(n - 25)(n - 16) = 0
(n - 25) = 0 (or) (n - 16) = 0
n = 25 (or) n = 16
x = a + (n - 1)d
x = 20 - (n - 1)
x = 21 - n
x = 21 - 25 (or) x = 21 - 16
x = -4 (or) x = 5
x cant be negative
so, x = 5
Hope this helps!
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