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solniwko [45]
3 years ago
10

Question 7 of 10 What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5?​

Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

12.496

Step-by-step explanation:

\text{Sum}=\frac{a*(1-r^n)}{1-r}\\\text{Here a=10, r=1/5, plugging them in the above formula we get}\\\text{Sum}=\frac{10*(1-(1/5)^5)}{1-(1/5)}\\\text{Sum}=\frac{1562}{125}=12.496

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a

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Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

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         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

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           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

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            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

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