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cintonsukad
cintonsukad cintonsukad
  • 31-07-2016
  • Mathematics
Answered

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48 ?

Verified Answer :

dalendrk
dalendrk dalendrk
  • 01-08-2016

\(a_1=8;\ a_9=48\\\\a_9-a_1=8d\\\\8d=48-8\\8d=40\ \ \ |divide\ both\ sides\ by\ 8\\d=5\\\\a_{23}=a_1+22d\\\\a_{23}=8+22\cdot5=8+110=118\\\\Answer:\boxed{a_{23}=118}\)

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