Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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 |
Find the middle term of the AP 7,13,19,…, 343. |
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2 |
Step |
Given AP: 7,13,19,…, 343 |
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3 |
Clue |
Given |
\$ a = 7\$ |
4 |
Formula: |
Common difference |
\$ d = a_2 - a_1 = 13 - 7 = 6\$ |
5 |
Clue |
The \$n^(th)\$ term |
\$ a_n = 343\$ |
6 |
Hint |
Now |
\$a_n = a + (n-1)d\$ |
7 |
Step |
Substitute a,d and \$a_n\$ |
\$ 343 = 7 + (n-1)6\$ |
8 |
Step |
After simplification |
\$ 343 = 7 + 6n - 6\$ |
9 |
Step |
After simplification |
\$ 343 = 6n + 1\$ |
10 |
Step |
After simplification |
\$ 6n = 343 - 1 = 342\$ |
11 |
Step |
After simplification |
\$ n = \cancel342^(57)/\cancel6 \$ |
12 |
Step |
After simplification |
\$ n = 57 \$ |
13 |
Step |
The middle term of A.P. is |
\$S_n = (n+1)/2 \$ |
14 |
Step |
Substitute n value |
\$S_57 = (57+1)/2 = \$ |
15 |
Step |
After simplification |
\$S_57 = \cancel58^(29)/\cancel2 = 29 \$th term of A.P. |
16 |
Step |
The 29 th term of A.P. is |
\$a_29 = 7 + (29 - 1)6 \$ |
17 |
Step |
After simplification |
\$a_29 = 7 + 28 \times 6 \$ |
18 |
Step |
After simplification |
\$a_29 = 7 + 168 = 175 \$ |
19 |
Step |
Thus the middle term of the A.P. is |
\$175 \$ |
20 |
Answer |
B |
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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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