Question-9752

Question Number 9752 by tawakalitu last updated on 30/Dec/16

Answered by mrW last updated on 31/Dec/16

let a_{1} be the first term and

d the common difference of the A . P .

N = \frac{[{2 a}_{1} + (n - 1) d] \times n}{2}

\Rightarrow {2 a}_{1} + (n - 1) d = \frac{2 N}{n} \dots (i)

H = \frac{[{2 a}_{1} + (h - 1) d] \times h}{2}

\Rightarrow {2 a}_{1} + (h - 1) d = \frac{2 H}{h} \dots (ii)

(i) - (ii) :

(n - h) d = \frac{2 N}{n} - \frac{2 H}{h} = \frac{2 (hN - nH)}{nh}

d = \frac{2 (hN - nH)}{nh (n - h)}

Commented by tawakalitu last updated on 31/Dec/16

God bless you sir . I appreciate .