1. a + 2d = 7
a + 6d = 15
2. a = 3
d = 2
3. \(S_ { 100} = 10200\)
Ask Questions
Chandler Lindsey
04/02/2021 · Middle School
The third \(( 3^ { rd} ) \) and seventh \(( 7^ { th} ) \) terms of an arithmetic sequence are seven \(( 7 ) \) and fifteen \(( 15 ) \) respectively. i. Write two linear equations showing the relationships between the terms and the first term \(a\) and the common difference \(d\) . [ \(2\) marks ] ii. Solve the equations ( part i) for the first term \(a\) and the common difference \(d\) . iii. Using the values derived for \(a a d\) determine the sum of the first one hundred \(( 100 ) \) terms of the sequence.
1. a + 2d = 7
a + 6d = 15
2. a = 3
d = 2
3. \(S_ { 100} = 10200\)
24/7 expert live tutors
Unlimited numbers of questions
Step-by-step explanations
You can enjoy