Sunday

October 26, 2014

October 26, 2014

Posted by **arzam** on Saturday, November 9, 2013 at 3:06am.

(ii)Find the sum of the first 200 even numbers.

(iii)Find the sum of the first 200 odd numbers.

(B)(i)Use the formula at the beginning of the question to find the sum of the first 2n natural numbers.

(ii)Find a formula, in its simplest form, for 1+3+5+7+9+...+(2n-1)

- Math -
**Steve**, Saturday, November 9, 2013 at 5:15amusing induction

if n=1, 2 = 1(2) = 2

assuming true for n=k,

check for n=k+1:

2+...+2k+2k+2

= k(k+1) + 2k+2

= k(k+1) + 2(k+1)

= (k+1)(k+2)

as desired.

1+3+5+...+(2n-1) = n^2

**Answer this Question**

**Related Questions**

SUMS? - what is the sum of the first towo odd numbers? what s the sum of the ...

Geometry - CounterExamples and Inductive Reasoning and Conjectures? Make a ...

math - The sum of the first 5 natural numbers is 15 or (5)(6)/2. The sum of the ...

Math riddle - nine odd numbers have a sum of 243.find the sum of the first and ...

Math - What is the sum of the first 200 odd numbers? A rectangle has an area of ...

Math - Find the sum of the first 35 consecutive odd numbers. What is the sum of ...

Math riddle - nine odd numbers have a sum of 243.find the sum of the first and ...

Math 130 - Sum the first two odd numbers, then the first three, the first four...

Math - Sum the first two odd numbers, then the first three, the first four, and ...

arithmetic - 1. The first and last term of an A.P are, a and l respectively, ...