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Alspach556
Alspach556 Alspach556
  • 15-08-2015
  • Mathematics
Answered

Find the sum of the given arithmetic series. 27 + 20 + 13 + 6 + ... + (–36) a. –45 c. 315 b. –9 d. –90

Verified Answer :

Benjamin16
Benjamin16 Benjamin16
  • 15-08-2015

\(r=20-27=-7 \\ \\ a_{1}=27 \\ \\ a_{n}=a_{1}+(n-1)r \\ \\ -36=27+(n-1)*(-7) \\ \\ -7(n-1)=-63 \\ \\ n-1=9 \\ \\ n=10 \\ \\ S_{10}= \frac{27-36}{2}*10=-9*5=-45\)

\\\ Ben

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