Thread: Sequences and Series Help (Grade 11)

Hi guys,

I have a math assignment here dealing with geometric series/sequences, arithmetic series/sequences, and the recursion formula. The problem is that I don't know which formula applies to which question!

If you could, a detailed explanation would be really wonderful.

Here are the questions:

1. Find and for the sequence
(For this one, I use the geometric sequence, right?)

2. Find for

3. Each year, for 8 years, the population of a city increased by 3.5% of its value in the previous year. If the initial population was 320 000, what was its population by the end of the 8th year?

4. If a sequence is determined by where is a natural number, find the sum of the first 15 terms.

Of course I don't expect anyone to help me with all of them, but even if you helped me figure out which formula to use for any of them, I would be really grateful!

Thank you so much in advance!

1. You see that the number double every time so you will have something like As for the x you see that the exponent also increase by 1 each time so that you have
2. The term decrease by 2 every time You want remember that .
3. That's for one year, the next year After n years
4. Use Decompose the sum and use also

Thank you very much for your help, vincisonfire.