calculate summation of vectors

write a code with no loop that will calculate the following sum:

b = 500 + 501^2 + 502 + 503^2 +...+ (N-1)^2 + N, where N = 1000

Answer 1

[William Rose]

@Kha Le, This sounds a lot like a homework question. Hints:

Break it into two parts: the sum of the unsquared terms plus the sum of the squared terms.

Read help for linspace.

Read the Matlab help for element-wise power, .^, especially example 1.

Read the Matlab help for sum.

If you still don't know, then show what you have tried that did not work, and show if you got an error message, or you got an answer that you know is the wrong answer, etc.

[Kha Le]

thanks for your hint. I figured it out :)

Answer 2

[Hernia Baby]

I'll just write a hint.

Even = 0:2:10

Even = 1×6

0 2 4 6 8 10

Odd  = 1:2:10

Odd = 1×5

1 3 5 7 9

Square = (1:10).^2

Square = 1×10

1 4 9 16 25 36 49 64 81 100

Sum = sum(1:10)

Sum = 55

[Image Analyst]

It looks like only every other term should be squared (only the odd terms), not all the middle terms.

[Hernia Baby]

thx! But I'm wondering if I should answer this question completely because I found this looks like home work...

I will write just hint.

[Image Analyst]

If it wasn't tagged as homework, but you really suspect it is homework, you can give hints. You can ask them if it's their homework, and if they say no, then you can go on and give a full solution. If they say yes, I make sure it's tagged as homework (in case they didn't do it themselves) and I give them this link:

How do I get help on homework questions on MATLAB Answers? - MATLAB Answers - MATLAB Central

Answer 3

[Image Analyst]

Hint:

oddTerms = 501 : 2 : N;
evenTerms = 500 : 2 : N;

[Kha Le]

thanks for your hint. I figured it out