What is the nth term rule of the linear sequence below? − 5 , − 7 , − 9 , − 11 , − 13 , . . .
Answers
The nth term = - 3 - 2n
Given :
The linear sequence − 5 , − 7 , − 9 , − 11 , − 13 , . . .
To find :
The nth term
Concept :
If in an arithmetic progression
First term = a
Common difference = d
Then nth term of the AP
= a + ( n - 1 )d
Solution :
Step 1 of 3 :
Write down the given sequence
Here the given sequence is
− 5 , − 7 , − 9 , − 11 , − 13 , . . .
The above sequence is an arithmetic sequence
Step 2 of 3 :
Find the common difference
First term = a = - 5
Second Term = - 7
Common Difference
= d
= Second Term - First term
= - 7 - ( - 5 )
= - 7 + 5
= - 2
Step 3 of 3 :
Find the nth term
The nth term
= a + ( n - 1 )d
= - 5 + (n -1) × ( - 2)
= - 5 - 2n + 2
= - 2n - 3
= - 3 - 2n
Hence the nth term is - 3 - 2n
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Learn more from Brainly :-
If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP
https://brainly.in/question/30198388
2. find the 100th term of an AP whose nth term is 3n+1
https://brainly.in/question/22293445
Answer:
The nth term = - 3 - 2n
Step-by-step explanation:
Given :
The linear sequence − 5 , − 7 , − 9 , − 11 , − 13 , . . .
To find :
The nth term
Concept :
If in an arithmetic progression
First term = a
Common difference = d
Then nth term of the AP
= a + ( n - 1 )d
Solution :
Step 1 of 3 :
Write down the given sequence
Here the given sequence is
− 5 , − 7 , − 9 , − 11 , − 13 , . . .
The above sequence is an arithmetic sequence
Step 2 of 3 :
Find the common difference
First term = a = - 5
Second Term = - 7
Common Difference
= d
= Second Term - First term
= - 7 - ( - 5 )
= - 7 + 5
= - 2
Step 3 of 3 :
Find the nth term
The nth term
= a + ( n - 1 )d
= - 5 + (n -1) × ( - 2)
= - 5 - 2n + 2
= - 2n - 3
= - 3 - 2n
Hence the nth term is - 3 - 2n
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP
brainly.in/question/30198388
2. find the 100th term of an AP whose nth term is 3n+1