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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

$1 + 1.02^2 + 1.02^3 + \dots + 1.02^{19}$

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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