how to the by geometric progression
Answers
Answer:
Let us carry out an activity. Take a paper and fold it as many times as you can. So how many times did you fold the paper? Maybe four to five times right? Now can you calculate the height of the stack of the paper after it has been folded number of times? How do you calculate it? The answer to this is geometric progression. Let us study this in detail
To find the nth term of a geometric sequence we use the formula:
where r common ratio
a1 first term
an-1 the term before the n th term
n number of terms
Sum of Terms in a Geometric Progression
Finding the sum of terms in a geometric progression is easily obtained by applying the formulas:
nth partial sum of a geometric sequence
sum to infinity
where Sn sum of GP with n terms
S∞ sum of GP with infinitely many terms
a1 the first term
r common ratio
n number of terms