Question

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

Answer 1

A1. 12 option D

A2. 3n-7 option A

A3. -6n+20 option D

A4. -70 option C

Explanation:

just did it got 100%

Answer 2

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

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