Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Consecutive terms of A.P |
Grade: 9-a Lesson: S4-L5 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
How many terms of the A.P. 20,16,12,… be taken so that their sum is zero? |
|
2 |
Step |
The first term |
\$ a = 20 \$ |
3 |
Formula: |
Common difference |
\$ d = a_2 - a_1 = 16 - 20 = -4\$ |
4 |
Formula: |
The \$n^(th)\$ term sum is given by |
\$ S_n = n/2(2a + (n-1)d)\$ |
5 |
Hint |
Substitute the values |
\$ 0 = n/2(2(20) + (n-1)-4) \$ |
6 |
Step |
After simplification |
\$0 = n/2(40 - 4n + 4 ) \$ |
7 |
Step |
After simplification |
\$ 0 = n/2(44 - 4n)\$ |
8 |
Step |
After simplification |
\$ 0 = 44 - 4n\$ |
9 |
Step |
After simplification |
\$ 4n = 44\$ |
10 |
Step |
After simplification |
\$ n = \cancel44^11/\cancel4^1 \$ |
11 |
Step |
After cancellation |
\$ n = 11\$ |
12 |
Answer |
A |
Tutor: Questions
Seq | Type | Question | Audio |
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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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