If the go term of an A.P. is zero then show that the 29term is twice the 19" term.
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Hence the 29th term is twice the 19th term
STEP -STEP EXPLANATION:
9th term=a+(9-1)d=a+8d-----(i)
29th term= a+(29-1)d= a+28d-----(ii)
19th term=a+(19-1)d=a+18d-------(iii)
from equation (i)
a+8d=0
a= -8d
Putting a=-8d in equation (ii)
T29=a+28d
T29= -8d +28d
T29= 20d=2(10d)
= 2( -8d + 18d) = 2( a+18d) = 2(T19)
Hence the 29th term is twice of 19th term
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