Concept explainers
(a)
To Find: The distance travelled in the 8th minute.
(a)
Answer to Problem 5MPS
The distance travelled in the eight minute is
Explanation of Solution
Given:
The snail moves 2 cm in one minute.
Calculation:
Consider the formula for the nth term of the geometric sequence is,
The first term is two as the snail moves 2 cm in one minute and in the succeeding minutes the snail travels half as far as the previous one. Then, the general ratio of the GP is.
Then, the in the eight minute the distance travelled by the snail is,
(b)
To Find: The distance travelled if the snail travels for forever.
(b)
Answer to Problem 5MPS
The distance travelled in the infinite time is
Explanation of Solution
Given:
The snail moves 2 cm in one minute.
Calculation:
Consider the formula for the sum of infinite geometric sequence is,
Then, the distance travelled in infinite time is,
Chapter 14 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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