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PLEASE HELP SUPER EASY!!!


1. A sequence has a second term of -8 and a common difference of 5.
The sixth term of the sequence is _____.

A. 7
B. -3
C. -28
D. 12

2. Which of the following expressions would give a sequence with a first term of -4 and a common difference of 3?

A. 3n – 7
B. 3n – 4
C. -4n + 3
D. -4n + 2

3. If n is a term of the sequence 14, 8, 2, -4, …, which expression would you give the value of n?

A. -6n + 14
B. -4n + 18
C. 3n + 11
D. -6n + 20

4. The fifteenth term of the sequence 14, 8, 2, -4, … is _____.

A. -110
B. -90
C. -70
D. -76

Respuesta :

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d  

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

  • -8 = a₁ + (2-1) × 5
  • -13 = a₁
  • a₆ = -13 + (6-1) × 5
  • a₆ = 12

For the second part, we have :

  • aₙ = -4 + (n-1)×3
  • aₙ = -4 + 3n -3
  • aₙ = 3n-7

For the third part, we have :

  • a₁=14 ; d=-6
  • aₙ = 14 + (n-1)×(-6)
  • aₙ = -6n + 20

For the fourth part, we have :

  • aₙ = 14 + (15-1)×(-6)
  • aₙ = -70

Answer:

A1. 12 option D

A2. 3n-7 option A

A3. -6n+20 option D

A4. -70 option C

Step-by-step explanation:

just did it got 100%

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