ceci9056 ceci9056
  • 18-05-2022
  • Mathematics
contestada

Find the sum of the first 6 terms of the following series, to the nearest integer. 15 , 5 , 5/3

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yanmikeayanleke
yanmikeayanleke yanmikeayanleke
  • 18-05-2022

Answer:

22

Step-by-step explanation:

the pattern here is to divide the previous number by 3

the first number is 15, divided by 3 to give you the second number:5 ,the second number divided by 3 gives us 5/3

using that principle the first six terms are :

15, 3, 5/3 , 5/9, 5/27, 5/81

(just multiply the denominator by 3)

adding we have

[tex]15 + 5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + \frac{5}{81} = \frac{1820}{81} [/tex]

1820/81 in decimal is 22.4691 to the nearest whole number that is 22.

hope this helps!

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