Question

If 4 times the 4 th term of an AP is equal to the 18 times its 18 th term them find its 22 nd term.

Answer 1

Answer:

$\bold\red{22nd\:term=0}$

Step-by-step explanation:

In an AP,

Let, the first term be 'a'

 and

 common difference be 'd'

And,

we know that,

nth term of an AP = a + (n-1)d

Now,

It is being Given that,

4 (4th term) = 18 ( 18th term)

=> 4( a + 3d ) = 18 ( a + 17d )

=> 4a + 12d = 18a + 306d

=> 18a - 4a = 12d - 306d

=> 14a = -294d

=> a = - 294d/14

=> a = -21d

Therefore,

we have

22nd term of AP =  a + 21d = -21d + 21d = 0

Hence, the 22nd term of AP is 0.

Answer 2

Answer:

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