Do the following.

(a) What is the sum of the first 35 consecutive odd numbers?
1 Tell whether it illustrates inductive or deductive reasoning.
inductive reasoning
deductive reasoning


(b) What is the sum of the first 700 consecutive odd numbers?
3 Tell whether it illustrates inductive or deductive reasoning.
inductive reasoning
deductive reasoning

To find the sum of consecutive odd numbers, you can use a formula. The formula to find the sum of consecutive odd numbers is given by:

Sum = n^2

Where "n" represents the number of terms in the series.

(a) To find the sum of the first 35 consecutive odd numbers, we can use the formula:

Sum = 35^2 = 1225

The sum of the first 35 consecutive odd numbers is 1225.

Regarding the reasoning used to find the sum, it is deductive reasoning. Deductive reasoning is when you start with general principles or statements and use them to reach a specific conclusion. In this case, we used the formula for the sum of consecutive odd numbers to find the sum of the first 35 odd numbers.

(b) To find the sum of the first 700 consecutive odd numbers, we can again use the formula:

Sum = 700^2 = 490,000

The sum of the first 700 consecutive odd numbers is 490,000.

The reasoning used to find the sum is still deductive reasoning as we are using the formula to calculate the sum of the given number of terms.