A monkey is swinging from a tree. On the first swing, she passed through an arc of 20m. With each swing , she passes through an arc 4/5 the length of the previous swing. What is the total distance the monkey has traveled when she completes her 10th swing

89.26 m

Step-by-step explanation:

We are given that

Distance covered by Monkey in first swig=20 m

Distance covered by monkey in second swing=

Distance covered by monkey in third swing=

Distance covered by monkey in fourth swing=

From above pattern

We can write

Total distance covered by monkey when she completed hr 10th swing

It is in G.P form

Sum of n terms in G.P

When

a=1 and r=,n=10

Using the formula

D=89.26 m