Question

Use the formula S = n² to find the sum of 1+3+5+...+435. (Hint: To find n, add 1 to the last term and divide by 2.)

1+3+5+... + 435 =___

Answer 1

To calculate the sum of the series 1+3+5+...+435, determine the number of terms with n = (435 + 1) / 2, which is 218, and then use the formula S = n² to get 218² = 47524.

Step-by-step explanation:

To find the sum of the series 1+3+5+...+435 using the formula S = n², we first need to determine the value of n, the number of terms in the series. According to the hint, we can find n by adding 1 to the last term and dividing by 2. So, n = (435 + 1) / 2 = 436 / 2 = 218.

Now that we have n, we can calculate the sum of the series: S = n² = 218² = 47524. Therefore, the sum of the series 1+3+5+...+435 is 47524