154k views
1 vote
Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

1 Answer

6 votes

Answer:

-37x+26

Explanation:

The x-coefficients have the sequence ...

-2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

-2 + (-5)(8 -1) = -37

__

The constants have the sequence ...

5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

User Danglingpointer
by
8.6k points

Related questions

asked Jun 25, 2024 221k views
Rafia asked Jun 25, 2024
by Rafia
8.4k points
1 answer
4 votes
221k views
asked Mar 24, 2021 109k views
Nahida asked Mar 24, 2021
by Nahida
7.7k points
2 answers
1 vote
109k views
asked Jun 16, 2021 56.3k views
Ojrac asked Jun 16, 2021
by Ojrac
8.3k points
1 answer
5 votes
56.3k views