SOLUTION: find the first term of the AP, if the 2pth term is 50 more than the pth term, and the (p+1)th term is 56

Question 1150953: find the first term of the AP, if the 2pth term is 50 more than the pth term, and the (p+1)th term is 56
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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If you draw the terms of an AP by points in the number line, you will have 2p-p = p gaps of the equal lengths between the p-th and 2p-th terms.


Between the (p+1)-th term and the 1-st terms you have the same number "p" of the gaps.


Hence, the first term of the AP is equal to 56-50 = 6.    ANSWER

Solved.

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