if 11+9+7....n terms = -13 then the value of n is
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Step-by-step explanation:
a = 11, d = - 2 and Sn = -13
to find n
Sn = n/2 [ 2a + (n - 1)d ]
-13 = n/2 [ 22 + (n - 1) × -2 ]
-26 = n [ 22 - 2n + 2 ]
-26 = n [ 24 - 2n ]
-26 = 24n - 2n²
=> 2n² - 24n - 26 = 0
=> n² - 12n - 13 = 0
=> n² - 13n + n - 13 = 0
=> n( n - 13) + 1(n - 13) = 0
=> (n - 13)(n + 1) = 0
=> n - 13 = 0 => n = 13 √
=> n + 1 = 0 => n = - 1 ×
therefore number of terms n = 13
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That's it my friend...
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