Question

find the sum of the following without actual multiplication: 1+3+5+7+9+11+13+15+17​

Answer 1

no. of terms= 9

so the square of 9 is 81

then the plus of all the terms is 81

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Answer 2

Step-by-step explanation:

we can calculate by formula of sum of series

sum =

$(n \div 2)(2a + (n - 1)d)$

here n=9

a=1

d=2

sum=(9/2)(2+(8*2))

sum=(9/2)*18=9*9=81