Question

Find a formula for the nth term in this

Answer 1

Answer:

$a_n=6n-13$

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: $a_n=a+(n-1)d$

where:

• $a_n$ is the nth term
• a is the first term
• d is the common difference between terms

Given:

• $a_1=-7$
• $a_2=-1$
• $a_3=5$
• $a_4=11$

To find the common difference, subtract consecutive terms:

$\implies d=a_4-a_3=11-5=6$

Therefore, the formula for the nth term is:

$\implies a_n=-7+(n-1)6$

$\implies a_n=-7+6n-6$

$\implies a_n=6n-13$