Progression (Sequence and Series)Medium
Question
If 100 times the 100th term of an A.P. with non-zero common difference equals the 50 times its 50th term, then the 150th term of this A.P. is :
Options
A.zero
B.- 150
C.150 times its 50th term
D.150
Solution
100T100 = 50T50
100 (a + 99d) = 50(a + 4d)
a + 149d = 0
T150 = a + 149d = 0
100 (a + 99d) = 50(a + 4d)
a + 149d = 0
T150 = a + 149d = 0
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