If the first and the (2n – 1) th term of an AP, GP and HP are equal and their nth terms…
Mathematics · JEE Advanced · NTA Exams — Progression and Series
If the first and the (2n – 1) th term of an AP, GP and HP are equal and their nth terms are a, b and c respectively, then which of the following may be correct.
- a = b = c
- a ≥ b ≥ c
- a + c = b
- ac – b2 = 0
Answer
(A) a = b = c, (B) a ≥ b ≥ c, (D) ac – b 2 = 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let a 1 , a 2 , a 3 , .... be in harmonic progression with a 1 = 5 and a 20 = 25 . The least positive integer…
- If the first and the (2 n – 1) th term of an A.P., a G.P. and a H.P. are equal and their n th terms are a , b…
- The least value of n for which the sum 1 + 3 + 3 2 + .... to n terms is greater than 7000 is
- If α, β be roots of x 2 – 3x + a = 0 and γ, δ are the roots of x 2 – 12x + b = 0 and α, β, γ, δ (in order)…
- For 0 and z= _ n=0 ^ ^ 2 n ^ 2 n , then
- The largest positive term of the H.P., whose first two terms are 2 5 and 12 23 is
- If the sum of the first 2 n terms of the A.P. 2, 5, 8.......is equal to the sum of the first n terms of the…
- If x _ 1 ^ 2 + x _ 2 ^ 2 + x _ 3 ^ 2 + .+ x _ B ^ 2 = n and 1 x _ 1 ^ 2 x _ 2 ^ 2 x _ B ^ 2 = A then
More Progression and Series questions · Browse all practice questions