how many terms of the series 10+8+6.... should be added to get the sum is -126
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Let the number of terms be 'n'
A/q. n/2(2×10+(n-1)(-2)=(-126)
n(10-n+1)=(-126)
11n-n^2=(-126)
n^2-11n-126=0
n^2-18n+7n-126=0
n(n-18)+7(n-18)=0
( n+7)(n-18)=0
n=(-7) or n=18
Required number of terms=18
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