Question

If the fifth term of an AP is zero, show that its 33rd term is four times its 12 th term

Answer 1

we know that nth term of an a(n) = a + (n - 1) * d

a(5) = a + (5 - 1) * d

= a + 4d.

Given that 5th term of an AP is 0.

= > a + 4d = 0.

= > a = -4d -------- (1)

Now,

a(12) = a + (12 - 1) * d

= a + 11d

= -4d + 11d

= 7d.

a(33) = a + (33 - 1) * d

= a + 32d

= -4d + 32d

= 28d

= 4 * 7d

Therefore 33rd term is 4 times its 12th term.

Hope it helps!

Answer 2

I hope this helped you



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