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CBSE Class 10 Answered

Evaluate 1-2-3+2-3-4+........+ up to 100 terms.
Asked by acv27joy | 15 Dec, 2018, 04:33: PM
answered-by-expert Expert Answer
Sum of given series ,  S = 1-2-3+2-3-4+3-4-5+..................to 100 terms
 
S = (1-2-3)+(2-3-4)+(3-4-5)+.......................+(33-34-35)+34
 
For 100 terms of individual numbers, We have 33 bracketed terms and 34 is the last number in the series
 
Hence sum S = (-4-5-6 ..........33 terms)+34 = (33/2)[-8-32]+34 = (-33×20)+34 = -660
Answered by Thiyagarajan K | 16 Dec, 2018, 06:43: AM

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