#1**+6 **

I don't want to say that you should necessarily do it this way, but 1+3+5+7+9+11+13+15+17+19+21+23=144 so 12

mimi997 Jan 28, 2021

#5**0 **

Notice a pattern on the partial sums:

1 = 1 = **1^2**

1 + 3 = 4 = **2^2**

1 + 3 + 5 = 9 = **3^2**

1 + 3 + 5 + 7 = 16 = **4^2**

The sum is equal to n^2, where n is the number of terms. (This can be proven by mathematical induction.)

Now, 144 = 12^2. This means n^2 = 12^2, **n = 12**.

MaxWong Jan 28, 2021

#6**+1 **

this is a perfect square pattern. so all we need to find is sqrt144=12 so **n=12**

KitSoundwave Jan 28, 2021