SOLUTION: If 3,p,q,24 is an arithmetic series, find the values of p and q

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Question 800112: If 3,p,q,24 is an arithmetic series, find the values of p and q
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
p-3=q-p=24-q
because the common difference is the same in an AP
p-3=q-p
2p=3+q
p=(3+q)/2
q-p=24-q
q-(3+q)/2 =24-q
2q-(3+q)/2 =24
3q-3 = 24*2
3q=51
q=17
so p=10