Find sum of all n odd natural number

1.	Find sum of all n odd natural number
Answer» The given n odd natural numbers are,\xa01, 3, 5, .... nClearly,it is an AP with ,\xa0First term (a) = 1Common difference (d) = 3 - 1 = 2Number of terms = {tex}{/tex}nSum of n terms {tex} = \\frac{n}{2}\\left[ {2a + (n - 1)d} \\right]{/tex}{tex} = \\frac{n}{2}\\left[ {2 \\times 1 + (n - 1) \\times 2} \\right]{/tex}{tex} = \\frac{n}{2}\\left[ {2 + 2n - 2} \\right]{/tex}{tex} = \\frac{n}{2} \\times 2n{/tex}= n2

Discussion