Question

Hello,Can you help me with question 13 on the picture? Im not sure if I am using the correct formula...Thank you

Answer 1

• a₁ = –4

,

• a₂ = –9

,

• a₃ = –14

,

• a₄ = –19

,

• a₅ = –24

,

• a₆ = –29

Step-by-step explanation

The arithmetic sequence formula is given by:

`a_n=a_1+(n-1)d`

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

`a_2=-4+(2-1)(-5)`
`a_2=-4+(1)(-5)`
`a_2=-4-5`
`a_2=-9`

• n = 3

`a_3=-4+(3-1)(-5)`
`a_3=-4+(2)(-5)`
`a_3=-4-10`
`a_3=-14`

• n = 4

`a_4=-4+(4-1)(-5)`
`a_4=-4-15=-19`

• n = 5

`a_5=-4+(5-1)(-5)`
`a_5=-4-20=-24`

• n = 6

`a_6=-4+(6-1)(-5)`
`a_6=-4-25=-29`