Question

if 9th term of an ap is zero prove that its 29th term is double of its 19th term

Answer 1

Hope it helps you sister.....


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Answer 2

Hey !!!


9th term of an AP is 0

tn = 0
n = 9

As we know that

tn = a+ (n-1)d

t9 = a + (9-1)d

0 = a + 8d

a = -8d -------1)

now , proofe :- 2t19 = t29

t19 = a + 18d

t19 = -8d + 18d

t19 = 10d [from 1 ]

and

t29 = a + 28d

t29 = -8d + 28d

t29 = 20d

now, if we multiply by 2 in t19 then here prooved

2t19 = t29

2× 10d = 20d

20d = 20d
LHS = RHS so prooved here

2t19 = t29

Hope it helps you !!!

@Rajukumar111