The fourth and seventh term of an arithmetic progression are 29 and 54.5, respectively. Find the term.
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a+3d=29 , a+6d=54.5. Solving both equations, we get a=3.5 and d=8.5. As we have to find 12th term=a+11d= {3.5+[11(8.5)]} = { 3.5 + 93.5 } = 97.