SOLUTION: the 7th term of am AP is 17 and the 13th term is 12 more than the 7th term. find the common difference

Algebra.Com
Question 1172462: the 7th term of am AP is 17 and the 13th term is 12 more than the 7th term.
find the common difference

Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.

Between the 7th term and the 13th term of an AP, there are 13-7 = 6 equal gaps (intervals in the number line).


So, each such a gap is   = 2.


Each gap length is the common difference of the AP.


Hence, the common difference of this AP is  2.      ANSWER

Solved.

. . . . . . . . .

Notice that the given value of the  7th term  (17)  is an  EXCESSIVE  and  UNECCESSARY  info.



RELATED QUESTIONS

he 7th term of an AP is 17 and the 13th term is 12 more than the 7th term. find the... (answered by Boreal,ewatrrr)
the 7th term of an ap is 17 and the13th term is 12 more than the 7th term find the 21st... (answered by Boreal)
the 7th term of an ap is 17 and the13th term is 12 more than the 7th term find the sum of (answered by Boreal,greenestamps)
Find the first term and the common difference of the arithmetic sequence whose 7th term (answered by ikleyn)
-the 4th term of an AP is 7 and the 9th term is 17 find the 15th term ?? -if 4 times the (answered by TheInstructor,mathgenboy)
If the 10th term of an AP is 52 and the 17th term is 20 more than the 13th term,find the... (answered by oscargut)
the 6th term of an ap is 29 and 13th term is 64. calculate the first term common... (answered by Fombitz)
The third term of an AP is ten more than the first term while the fifth term is 15 more... (answered by Edwin McCravy)
The 6th term of Ap is 35 and the 13th term is 77. find the 20th... (answered by ikleyn)