SOLUTION: he 7th term of an AP is 17 and the 13th term is 12 more than the 7th term. find the first term

Question 1172467: he 7th term of an AP is 17 and the 13th term is 12 more than the 7th term.
find the first term
Found 2 solutions by Boreal, ewatrrr:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a7=a1+d(n-1)=a1+d(6)=17, so a1+6d=17
a13=a1+d(12), so a1+12d=29.
d=2
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a1+12=17a1=5, which is the answer.
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the difference is 2, so 6 more terms to a7 is 5+12=17

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi
The 7th term of an AP is 17 and the 13th term is "12 more than the 7th term".
find the first term:

|Subtracting 2nd EQ from 1st EQ eliminating
12 = 6d

|Finding a(1)

CHECKING our answer***

29 = 5 + 24 CHECKS!!
Wish You the Best in your Studies.
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