nitisha24 Posts: 1, Reputation: 1 New Member #1 Oct 3, 2008, 07:46 PM
Formula derivation from a sequence
Hello

I have the following sequence

1 + 1.02p2 + 1.02p3+... + 1.02p19

p: to the power

Can anyone please help me derive a formula for it?

Many thanks in advance
Kind regards,
Nitisha
 derobert Posts: 34, Reputation: 2 Junior Member #2 Oct 4, 2008, 07:52 PM
$1 + 1.02^2 + 1.02^3 + \dots + 1.02^{19}$

Wouldn't you just solve that? (Oh, and is there a term missing; should there be a + 1.02 from $1.02^1$ in there?). According to my calculator,

$1 + \sum_{n=2}^{19}\left( 1.02^n \right) \approx 23.2774$

If that was an accidentally missed term, then:

$\sum_{n=0}^{19}\left( 1.02^n \right) \approx 24.2974$

 Question Tools Search this Question Search this Question: Advanced Search

## Check out some similar questions!

Name Sequence [ 2 Answers ]

Find the next two names in this sequence: George,Thomas,Abe,Alexander

Latin derivation for Amo [ 2 Answers ]

I NEED TO KNOW URGENTLY WHAT THE DERIVATION FOR AMO IS FOR LATIN:confused:

Formula for a sequence [ 1 Answers ]

What is the formula to find the number of one on one meetings a group of people (let's say 10) will need to have to meet with every one else in the group. I know that if there are 10 people, each of the 10 will need 9 meetings and each meeting will consist of 2 people. Therefore 45 meetings...

Ppm formula derivation [ 0 Answers ]

I have been trying to recreate the derivation of the formula mg/L (or ppm) = lbs/gal x 120,000. I know that the constant 120,000 comes from 1,000,000/8.33 (the weight of a gallon of water) but I can't make the constant come out in the numerator of the equation. I'm starting by saying one ppm = one...

Simple Derivation? [ 2 Answers ]

I'm not sure if I'm simply forgetting basics here... what is dy/dx where y= x^(x*r/k) r and k are constants.