Mathematics
Mathematics
Problem
Consider the geometric sequence 160, 80, 40, 20, .... a. Find, in decimal form, the 8th term of the sequence. b. Find the sum of the first 8 terms of the sequence. c. How many terms are required for the sum of the terms to exceed 319.9?Intuitive explanation
This is about recognizing and using the common ratio in a geometric sequence. Notice that each term is exactly half the previous one—that's your . Once you identify this pattern, you can write a formula for any term and solve problems about sums or specific values without listing out all the terms.
Intuitive explanation
This is about recognizing and using the common ratio in a geometric sequence. Notice that each term is exactly half the previous one—that's your . Once you identify this pattern, you can write a formula for any term and solve problems about sums or specific values without listing out all the terms.