Question

If 7 times the 7th term of an ap is equal to 11 times its 11th term then find its 18th term

Answer 1

Answer:

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Answer 2

Answer:

→ a₁₈ = 0 .

Step-by-step explanation:

▶ Given :-

→ 7a₇ = 11a₁₁ .

​▶ To find :-

→  a₁₈ .

Solution :-

We have,

⇒ 7a₇ = 11a₁₁ .

⇒ 7( a + 6d ) = 11( a + 10d ) .

⇒ 7a + 42d = 11a + 110d .

⇒ 11a - 7a = 42d - 110d .

⇒ 4a = - 68d .

⇒ 4a + 68d = 0 .

⇒ 4( a + 17d ) = 0 .

⇒ a + 17d = 0/4 .

⇒ a + ( 18 - 1 )d = 0.

∴ a₁₈ = 0 .

Hence, it is solved .