Respuesta :

dtews07

Answer:

The answer would be 175

Step-by-step explanation:

Step 1, Write the first four terms:

With the number 64, multiply it by 0.75, to get 48. Then multiply 48 by 0.75 again, to get 36. Then multiply 36 by 0.75 to get 27.

Step 2, add up the terms:

The first four terms are 64, 48, 36, and 27. Now just add them together!

64 + 48 + 36 + 27 = 175

Eduard22sly

The sum of the first 4 terms in the series is 175

Data obtained from the question

  • First term (a) = 64
  • Common ratio (r) = 0.75
  • Sum of first four terms (S₄) =?

How to determine the sum of the first four terms

The sum of the first four terms of the series can be obtained as follow:

Sₙ = a[1 – rⁿ] / 1 – r

S₄ = 64[1 – 0.75⁴] / 1 – 0.75

S₄ = 64[1 – 0.31640625] / 1 – 0.75

S₄ = 64[0.68359375] / 0.25

S₄ = 43.75 / 0.25

S₄ = 175

Thus, the sum of the first four terms of the series is 175

Learn more about geometric series:

https://brainly.com/question/14320920

Otras preguntas