Asked by noor
If 10 times the 10
th
term of an AP is equal to 15 times its 15
th
term, show that its25
th
term is zero.
th
term of an AP is equal to 15 times its 15
th
term, show that its25
th
term is zero.
Answers
Answered by
Steve
T10 = a+9d
T15 = a+14d
10(a+9d) = 15(a+14d)
10a + 90d = 15a + 210d
5a = -120d
a = -24d
T25 = a + 24d = -24d + 24d = 0
T15 = a+14d
10(a+9d) = 15(a+14d)
10a + 90d = 15a + 210d
5a = -120d
a = -24d
T25 = a + 24d = -24d + 24d = 0
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