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What is the sum of the arithmetic sequence 152, 138, 124, …, if there are 24 terms?
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What is the sum of the arithmetic sequence 152, 138, 124, …, if there are 24 terms?

User Mownier
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(24/2){2(152) + (24-1)(-14)} = -216. -216 is the sum of the sequence.
User Melek
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5 votes
hello :
124-138=138-152 = -14 (common diference)
the sum of 24 terms is : S = n/2( U1 +U 24 )
n= 24 U1 = 152
Un = U1+(n-1)d ..... d = -14
n=24 : U24 = 152+(24-1)(-14) =152-322 = -170
S= 24/2(152-170) = 12(-18) = - 216
User Darko Cerdic
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