cayleeclarke311 cayleeclarke311
  • 13-02-2020
  • Mathematics
contestada

Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59

Respuesta :

ChiKesselman ChiKesselman
  • 14-02-2020

Answer:

The sum of 10 terms G.P is 310.                                                

Step-by-step explanation:

We are given the following in the question:

There are 10 terms in a geometric series.

First term, a = 3

Last term = 59

[tex]a_{10} = 59[/tex]

Sum of n terms of a geometric progression is given by:

[tex]S_n = \dfrac{n(a+a_n)}{2}[/tex]

Putting the values, we get,

[tex]S_{10} = \dfrac{10(3+59)}{2} = 310[/tex]

Thus, the sum of 10 terms G.P is 310.

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