Asked by Glory

The 5th term of an arithmetic progression is 23 and the 12th term is 37.find the third term and common different

Answers

Answered by Reiny
Just use your definitions:
"5th term of an arithmetic progression is 23"
---> a + 4d =23
"the 12th term is 37" --> a + 11d = 37

You have two equations in two unknows.
Solve them.
Hint: I would subtract one from the other.
Let me know what you get.
Answered by Lihle
a + 4d=23
a + 11d=37
a + 7d=14
a +7d÷7 =14÷7
1a + d =2
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