Courses
Past Papers
Log In
Sign Up
Courses
Collegeboard AP
IB DP
Cambridge IGCSE
AS & A Level
IB MYP 1-3
IB MYP 4-5
/
Cambridge IGCSE
/
Mathematics - International - 0607 - Core
/
0610-12-Summer-2021
/
Q3
Q3:
Sigma Notation for Finding Sn from Un
230
54
Share
Share
Page Link
https://www.sparkl.ac/past-papers/cambridge-igcse/mathematics-international-0607-core/sigma-notation-for-finding-sn-from-un/question/2-101
Copy
Share via
Whatsapp
Facebook
Previous
Next
Check your Answer
Questions:
3/4
Topic: Sigma Notation for Finding Sn from Un
View Solution
Solution
PRACTISE
Similar Questions
LEARN
Concepts with Sparky
More Questions from this Topic
Theory
Sigma Notation for Finding Sn from Un
Look at the sum $T = \sum_{m=5}^q (3m - 2)$, where $q$ is a positive integer greater than 5:(a) Identify the first three terms of the series.(b) Deter...
2021
Summer
1
Theory
Sigma Notation for Finding Sn from Un
Suppose $t_n = 3n + 2$, for $n$ being an integer.(i) Use summation notation to express $t_1 + t_2 + t_3 + \cdots + t_{50}$.(ii) Calculate the sum you ...
2021
Summer
115
Theory
Sigma Notation for Finding Sn from Un
Calculate the sum of the given number of terms in each arithmetic sequence.1. Find the sum of the first 25 terms of the sequence defined by $a_n = 5n ...
2021
Summer
25
Theory
Sigma Notation for Finding Sn from Un
Look at the arithmetic series $7 + 12 + 17 + 22 + \cdots + 92$:(a) Derive the formula for the general term $t_m$ in the form $bm + c$.(b) Using this, ...
2021
Summer
230
More Questions from year 2021
Theory
Sigma Notation for Finding Sn from Un
Look at the sum $T = \sum_{m=5}^q (3m - 2)$, where $q$ is a positive integer greater than 5:(a) Identify the first three terms of the series.(b) Deter...
2021
Summer
1
Theory
Sigma Notation for Finding Sn from Un
Suppose $t_n = 3n + 2$, for $n$ being an integer.(i) Use summation notation to express $t_1 + t_2 + t_3 + \cdots + t_{50}$.(ii) Calculate the sum you ...
2021
Summer
115
Theory
Sigma Notation for Finding Sn from Un
Calculate the sum of the given number of terms in each arithmetic sequence.1. Find the sum of the first 25 terms of the sequence defined by $a_n = 5n ...
2021
Summer
25
Theory
Sigma Notation for Finding Sn from Un
Look at the arithmetic series $7 + 12 + 17 + 22 + \cdots + 92$:(a) Derive the formula for the general term $t_m$ in the form $bm + c$.(b) Using this, ...
2021
Summer
230
Theory
Arithmetic Sequences
The seventh term, $b_7$, of an arithmetic sequence is 30. The fifteenth term, $b_{15}$, of the same sequence is 62.(a) Determine $e$, the common diffe...
2021
Winter
5
Theory
Permutations
The sum of the first $n$ terms of an arithmetic sequence is given by $S_n = pn^2 - qn$, where $p$ and $q$ are positive constants. It is given that $S_...
2021
Winter
3
Theory
Arithmetic Series
The 20th term of an arithmetic sequence is 75 and the common difference, $d$, is 3.5.Find $S_{20}$, the sum of the first 20 terms of the arithmetic se...
2021
Winter
3.0k
Theory
Combinations
(a) Consider the sequence $1, 8, 27, 64, 125, \dots$. Derive a formula for the general term $S_k$ of the sequence.(b) Compute $S_k$ for $k = 1, 2, 3, ...
2021
Winter
3.1k
Theory
Arithmetic Series
In an arithmetic sequence, the fifth term $u_5$ is equal to the sum of the first five terms $S_5$. If $u_5$ is 15, what are the first term $u_1$ and t...
2021
Winter
268