Q1:
Geometric Sequences and Series
Share
Previous
Questions:
1/4
Topic: Finding the nth Term and Sum of n Terms
Solution
PRACTISE
Similar Questions
LEARN
Concepts with Sparky
More Questions from this Topic
Theory
Finding the nth Term and Sum of n Terms
Consider the sequence $$S_n = \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81} + \dots + \frac{1}{3^n}$$.(a) Calculate $S_1, S_2, S_3, S_4,$ an...
Winter
11
Theory
Finding the nth Term and Sum of n Terms
In a geometric sequence, the third term, $t_3$, is 64, and the seventh term, $t_7$, is 1024.1. What is the common ratio of this sequence?2. Determine ...
Winter
10
Theory
Finding the nth Term and Sum of n Terms
Given that $a$, $3a$, and $a + 40$ are consecutive terms of a sequence:(i) What is the value of $a$ if this sequence is geometric?(ii) List the three ...
Winter
10
Theory
Finding the nth Term and Sum of n Terms
The first three terms of a geometric sequence are $3m - 4$, 6, and $m + 1$, where $m$ is an integer. Prove that $m$ satisfies the equation $3m^2 - m -...
Winter
55
More Questions from year 2021
Theory
Combinations
Consider the sequence $$S_n = \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81} + \dots + \frac{1}{3^n}$$.(a) Calculate $S_1, S_2, S_3, S_4,$ an...
Winter
11
Theory
Geometric Sequences
Given that $a$, $3a$, and $a + 40$ are consecutive terms of a sequence:(i) What is the value of $a$ if this sequence is geometric?(ii) List the three ...
Winter
10
Theory
Finding the Nth Term and Sum of n Terms
In a geometric sequence, the third term, $t_3$, is 64, and the seventh term, $t_7$, is 1024.1. What is the common ratio of this sequence?2. Determine ...
Winter
10
Theory
Geometric Sequences
The first three terms of a geometric sequence are $3m - 4$, 6, and $m + 1$, where $m$ is an integer. Prove that $m$ satisfies the equation $3m^2 - m -...
Winter
55