Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Arithmetic progression |
Grade: 9-a Lesson: S3-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Steps | Problem | Solution |
|---|---|---|
1 |
Let \$a_n\$ be the arithmetic progression.If \$a_1 = 3 , a_2 = 12\$. |
Determine \$a_35\$ |
2 |
Difference between two consective numbers |
\$ d = a_n - a_(n-1) \$ |
3 |
Substitute the \$a_1 , a_2 \$ |
\$ d = a_2 - a_1 \$ |
3 |
Substitute the \$a_1 = 3 , a_2 = 12\$ |
\$d = 12 - 3 \$ = 9 |
5 |
Formula for \$n_(th)\$ number of series |
\$ a_n = a_1 + (n-1)d \$ |
6 |
Substitute d = 9 , n = 35 we get |
\$ a_35 = 3 + (35-1)9 \$ |
7 |
Simplify |
\$ a_11 = 3 + (34)9 \$ \$ a_11 = 3 + 306 \$ |
8 |
Answer |
A ⇒ \$a_11 = 309\$ |
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