Find the sum of -29,-24,-19,-14......+91
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a = -29
d = -24-(-29) = 5
Tn = 91
a+(n-1)d = Tn
-29+(n-1)5=91
-29+5n-5=91
-24+5n=91
5n=91+24
5n=115
n=23
therefore,n=23
Tn=a+(n-1)d
T23=-29+(23-1)5
T23=-29+22×5
T23=-29+110
T23=81
Therefore,
the sum of -29,-24,-19,-14......+91 is equal to 81.
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