Posted by **Urgen please help** on Tuesday, May 29, 2012 at 8:59pm.

(a) What is the sum of the first 60 consecutive odd numbers?

Tell whether it illustrates inductive or deductive reasoning.

inductive reasoning deductive reasoning

(b) What is the sum of the first 1,200 consecutive odd numbers?

Tell whether it illustrates inductive or deductive reasoning.

inductive reasoning deductive reasoning

- ALGEBRA -
**Reiny**, Tuesday, May 29, 2012 at 9:29pm
a)

Sum(1 odd numbers) = 1

sum(first 2 odd numbers) = 1+3=4

sum(first 3 odd numbers) = 1+3+5 = 9

mmmhhh?

they look like perfect squares

sum(first 4 odd numbers) = 1+3+5+7 = 16

appears that sum(n odd numbers) = n^2

so Sum(first 60 odd numbers) = 60^2 = 3600

test it with an arithmetic sequence method

1+3+5+7 + ... 60 = ?

a = 1, d=2, n=60

sum(60) = (60/2)(2 + 59(2)) = 3600

ok, then!!!

According to your text or course notes, what kind of reasoning did I just use?

b) sum(1200) = 1200^2 = ....

- ALGEBRA -
**Anonymous**, Tuesday, January 19, 2016 at 9:32pm
-38= 2 (n-1)

## Answer This Question

## Related Questions

- math - Do the following. (a) What is the sum of the first 35 consecutive odd ...
- ALGEBRA - a) What is the sum of the first 70 consecutive odd numbers? Tell ...
- math - Answer the question and tell whether it illustrates inductive or ...
- ALGEBRA - Answer the question and tell whether it illustrates inductive or ...
- Geometry - 1. Explain whether the following statement is a valid definition: “A ...
- English - 1. A poll of five thousand people has indicated that 57 percent of the...
- Deductive reasoning help - Can someone explain the difference between deductive ...
- Math-please check - The supershots scored over 75 points in each of ten straight...
- Science - What type of scientific thinking did alfred wegener employ to develop ...
- Math - Is this inductive or deductive reasoning? All U.S. Presidents have come ...

More Related Questions