CBSE Class 10 Maths (Standard) 2019 · Paper 30/3/1 · Question 24(a)

Arithmetic Progressions 4 marks Medium

m

times the

m^{t h}

term of an Arithmetic Progression is equal to

n

times its

n^{t h}

term and

m \neq = n

, show that the

(m + n)^{t h}

term of the A.P. is zero.

Answer

Since

(m - n) \neq = 0

, we get

a + (m + n - 1) d = 0

, i.e.

t_{m + n} = 0

. Hence proved.

🔒 Step-by-step solution

Class 10 Maths — every question with an expert-verified, step-by-step solution.