A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an ar

Question

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

vankhanh · Answer

The  total distance  the  monkey  has traveled when she completes her 2 5th swing  is  92.82 m  if the monkey is swinging from a tree.     What is a sequence?  It is defined as the  systematic  way of representing the  data  that follows a  certain  rule of arithmetic.     We have:    A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.    In first swing = 10 m    In second swing = (9/10)10 m = 9 m    In the second swing = (9/10)9 =81/10    10, 9, 81/10,..    This is the geometric sequence with the first term being 10 and the common ratio being 9/10.    a = 10  r = 9/10    The sum of geometric sequence up to 25th terms:  S = a(1 - rⁿ)/(1 - r)    S = 10(1 - (9/10)²⁵)/(1 - 9/10)    S = 92.82 m    Thus, the  total distance  the  monkey  has traveled when she completes her 2 5th swing  is  92.82 m  if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc  9/10  the  length  of the  previous swing.       Learn more about the  sequence  here:  brainly.com/question/21961097    #SPJ5

What is a sequence?

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The first and second steps to solve the equation StartFraction 3 x over 5 EndFraction + 5 = 20 are shown below. StartFraction 3 x

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