How many terms of the AP-7,
-13/2,-6,-11/2,- 5, ... are needed to give the sum - 45? Explain the double answer.
Answers
Answered by
2
Step-by-step explanation:
6, -5.5, -5 ........................
a = -6
d= 0.5
n = ?
Sn = -25
Sn = n/2 *(2a +(n-1)d)
-25 = n/2 *(-12 + 0.5n - 0.5)
-50 = n(-12.5 + 0.5n)
-50 = -12.5n +0.5 n^2
-100 = -25n + n^2
0 = n^2 - 25n + 100
0 = (n-5)(n-20)
n = 5 , n = 20.
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Answered by
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