Question

If 5th term of an AP is 0 show 33rd term is two times its 19th term

Answer 1

if 5th terms is 0 then 19th terms is half of 33th terms

Answer 2

Answer:

Step-by-step explanation:

Given,5th term is zero, i.e,

a5= a+(5-1)d

0  = a+4d

-4d= a

a  = -4d       -----------(1)

a33 = a+ (33-1)d

a33 = a+ 32d

From equation (1),

a33 = -4d+ 32d

∴a33 = 28d

And,

a19 = a+ (19-1)d

a19 = a+ 18d

From equation (1),

a19 = -4d+ 18d

a19 = 14d

∴ a33= 2(a19)

hence, proved

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