datboi223 datboi223

07-08-2017
Mathematics

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In this particular arithmetic sequence, a6 = 37 and a17 = 114. What is the value of a23?

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maddasiouab63 maddasiouab63

07-08-2017

37=a+5d
114=a+16d
_________
114-37=16d-5d
77=11d
7=d
_________
37=a+5×7
37-35=a
2=a
________
a23=a+(23-1)×d
a23=2+(23-1)×7
a23=156

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