Complete the table for each given sequence: On = 15+3(n − 1)

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation: