Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: The sum of arithmetic progression |
Grade: 9-a Lesson: S4-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the sum of the first 30 multiples of 2 |
|
2 |
Step |
The first 30 multiples of 2 are 2,4,6,….60 |
|
3 |
Clue |
Here |
\$ a = 2,n = 30\$ |
4 |
Hint |
Common difference |
\$d = a_2 - a_1 = 4 - 2 = 2 \$ |
5 |
Formula: |
Sum of n terms of an AP |
\$ S_n = n/2(2a+(n-1)d)\$ |
6 |
Hint |
Substitute \$a,d,n\$ values in formula |
\$S_30 = 30/2(2(2)+ (30-1)2) \$ |
7 |
Step |
After simplification we get |
\$ S_30 = 15(4 + (29)2)\$ |
8 |
Step |
After simplification we get |
\$ S_30 = 15(4 + 58)\$ |
9 |
Step |
After simplification we get |
\$ S_30 = 15(62)\$ |
10 |
Step |
After simplification we get |
\$ S_30 = 930\$ |
11 |
Step |
The value of \$ S_30\$ is |
930 |
12 |
Answer |
A |
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Tutor: Questions
| Seq | Type | Question | Audio |
|---|---|---|---|
1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
How can we improve the Steps? |
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