Asked by Jethro
If 5 times 5th term is equal to the 6times the 6th term of an arithmetic sequence,then its 11th is?.
Answers
Answered by
Steve
5(a+4d) = 6(a+5d)
a = -10d
T11 = a+10d = 0
check:
a=10, d=-1
10,9,8,7,6,5
5*6 = 6*5
a=-5, d=1/2
-5,-4.5,-4,-3.5,-3,-2.5
5(-3) = 6(-2.5) = -15
In both cases, T11 = 0
a = -10d
T11 = a+10d = 0
check:
a=10, d=-1
10,9,8,7,6,5
5*6 = 6*5
a=-5, d=1/2
-5,-4.5,-4,-3.5,-3,-2.5
5(-3) = 6(-2.5) = -15
In both cases, T11 = 0
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