The nth term of a geometric progression is 2^n-1/3 for all values of n Write down the numerical values - Maths - Sequences and Series

Question

The nth term of a geometric progression is 2^n-1/3 for all
values of n Write down the numerical values of the first three
terms and calculate the sum of the first 10 terms, correct to 3
significant figures

Priyanka Kedia · Accepted Answer

Given that nth termTn of G P
 is 2n-13 for all values of n
So,T1=21-13=203=13T2=22-13=213=23T3=23-13=223=43Thus, a=13 and r=2313=2So, sum of first 10 terms of given G
P =arn-1r-1=13210-12-1=13×1023=341

The nth term of a geometric progression is 2^n-1/3 for all values of n. Write down the numerical values of the first three terms and calculate the sum of the first 10 terms, correct to 3 significant figures