Step-by-step explanation:
Terms of Sequence:
A1 (read as a sub 1)
- represents the First term of the Sequence
A2 (read as a sub 2)
- represents the Second term of the Sequence
A3 (read as a sub 3)
- represents the Third term of the Sequence
A4 (read as a sub 4)
- represents the Fourth term of the Sequence
A5 (read as a sub 5)
- represents the Fifth term of the Sequence
An (read a a sub n)
- represents the nth term or the last term of the Sequence
Given:
Common Difference "d": 4
First Sequence: A1 = 3
Second Sequence: A1 = 6
Third Sequence: A1 = 9
Fourth Sequence: A1 = 12
Fifth Sequence: A1 = 15
Unknown:
First Sequence: {3, __, __, __, __}
Second Sequence: {6, __, __, __, __}
Third Sequence: {9, __, __, __, __}
Fourth Sequence: {12, __, __, __, __}
Fifth Sequence: {15, __, __, __, __}
Step by step procedure to know the importance:
1.) First Sequence: {3, __, __, __, __}
Solve:
• = 3
• 3 + 4 = 7
Answer: {3, 7, __, __, __}
Checking if the common difference is correct:
Given: Finding Common Difference.
Formula: An = A1 + (n - 1) d
Substitute: 7 = 3 + (2 - 1) d
n = 2th
An = 7
A1 = 3
d = ?
Solving:
An = A1 + (n - 1).d
7 = 3 + (2 - 1).d
7 = 3 + 1d
7 - 3 = 1d
4/1 = 1d/1
4 = d
Given: Finding the 3rd term, 4th term, and 5th term.
Formula: An = A1 + (n - 1) d
Substitute:
A3 = 3 + (3 - 1).4
A4 = 3 + (4 - 1).4
A5 = 3 + (5 - 1).4
An = 3th, 4th, 5th
A1 = 3
n = 3th, 4th, 5th
d = 4
A3 = ?
A4 = ?
A5 = ?
Solving:
1.)
An = A1 + (n - 1).d
A3 = 3 + (3 - 1).4
A3 = 3 + (2).4
A3 = 3 + 8
A3 = 11
2.)
An = A1 + (n - 1).d
A4 = 3 + (4 - 1).4
A4 = 3 + (3).4
A4 = 3 + 12
A4 = 15
3.)
An = A1 + (n - 1).d
A5 = 3 + (5 - 1).4
A5 = 3 + (4).4
A5 = 3 + 16
A5 = 19
Answers: {3, 7, 11, 15, 19}
Thank you, that's all for these simple explanation.
Do you need Part 3?
For more information about Arithmetic Seqeunce.
Maaari niyo po bisitahin ang aking Brainly Account tungkol sa Math grade 10.
Baka sakaling maliwanagan pa kayo ng maayos.
Role of every students; Mag saliksik ng maaga upang maliwanagan ang iyong pang-unawa.
