Question

Q. If 7 times of the 7th of an A.P. is equal to 5 times of the 5th term of the same A.P. then find its 12th term?

Answer 1

.'. 12th term of A. P will be equal to 0

Answer 2

Hey there !!

Given :-

→ 7( a₇ ) = 5( a₅ ) .

To find :-

→ a₁$\tiny 2$ = ? .

Solution :-

We have,

⇒ 7( a₇ ) = 5( a₅ ) .

⇒ 7( a + 6d ) = 5( a + 4d ) .

⇒ 7a + 42d = 5a + 20d .

⇒ 42d - 20d = 5a - 7a .

⇒ 22d = -2a .

⇒ 2a = -22d .

⇒ 2a + 22d = 0 .

⇒ 2( a + 11d ) = 0 .

⇒ a + 11d = 0/2 .

⇒ a + 11d = 0 .

⇒ a + ( 12 - 1 )d = 0 .

∴ a₁₂= 0 .

Hence, 12th term of the AP is 0 .

THANKS.

#BeBrainly .