Question

If the sum of first n' successive even natural numbers is 72 then formulate the quadratic equation to find 'n'.

Answer 1

Heyyy

Step-by-step explanation:

Sn = n/2 [2a + (n-1)d]

72 × 2 = n [2a + (n-1)d]

144 = n [2a + dn -d]

144 = 2an + dn^2 -dn

dn^2 - dn + 2an = 144

dn^2 - (d - 2a)n - 144 = 0

Which is the required quadratic equation.

Hope it helped...