SOLUTION: The first and last term if an AP are -0.5 and 140.5, respectively. (Q1) If the number of terms in the sequence is 48, find its common difference. (Q2) the first term of an Arith

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Question 1162725: The first and last term if an AP are -0.5 and 140.5, respectively.
(Q1) If the number of terms in the sequence is 48, find its common difference.
(Q2) the first term of an Arithmetic progression is -8. The ratio of the 7th term to the 9th term is 5 : 8, calculate the common difference of the progression
(Q3) show that each of the following sequence is an AP; 3n+4 14-4n and 4n-2
Answer by ikleyn(52775)   (Show Source): You can put this solution on YOUR website!
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(Q1)  The distance from -0.5 to 140.5 in number line is  141 unit.

      There are 47 intervals between the 48 terms - the 48 points in the number line.

      These intervals are of equal length, since each interval length is the common difference of the AP.


      Thus each such interval has the length of   = 3 units, and it it is the value of the common difference to this AP.    ANSWER


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