Question

Give all formulas of. Gp

Answer 1

Answer:

GP Series =>  a, ar, ar^2, ar^3 ...

where

a = first term and

r = common ratio or ( Tn/Tn-1)

The nth term of a GP series is Tn = a*r^(n-1),

sum of first n terms of a GP => a*(r^n -1) /(r-1)

Step-by-step explanation:

For example,

GP Series =>  2, 2*3, 2*(3^2), 2*(3^3) ...

where

a = 2

r = common ratio = 3

The nth term of this GP series is Tn = 2*r^(n-1),

example,  8th term of this GP is 2*(3^7) => 2*2187

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sum of first 8 terms of this GP => 2*(3^8 -1) /(3-1) => 2*6560/2 =>2*3280 =>6560