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

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:

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

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