Answer
• a₁ = –4
,
• a₂ = –9
,
• a₃ = –14
,
• a₄ = –19
,
• a₅ = –24
,
• a₆ = –29
Explanation
The arithmetic sequence formula is given by:
[tex]a_n=a_1+(n-1)d[/tex]
where an is the nth term, a₁ is the first term, n is the number of term we are in, and d is the common difference.
We are given that a₁ = –4 and d = –5. Then, we can calculate the following terms by choosing n.
• n = 2
[tex]a_2=-4+(2-1)(-5)[/tex][tex]a_2=-4+(1)(-5)[/tex][tex]a_2=-4-5[/tex][tex]a_2=-9[/tex]
• n = 3
[tex]a_3=-4+(3-1)(-5)[/tex][tex]a_3=-4+(2)(-5)[/tex][tex]a_3=-4-10[/tex][tex]a_3=-14[/tex]
• n = 4
[tex]a_4=-4+(4-1)(-5)[/tex][tex]a_4=-4-15=-19[/tex]
• n = 5
[tex]a_5=-4+(5-1)(-5)[/tex][tex]a_5=-4-20=-24[/tex]
• n = 6
[tex]a_6=-4+(6-1)(-5)[/tex][tex]a_6=-4-25=-29[/tex]
