Find an explicit formula for the arithmetic sequence -45,-30,-15,0,...−45,−30,−15,0,...M inus, 45, comma, minus, 30, comma, minus, 15, comma, 0, comma, point, point, point. c(n)=

The explicit formula for any term is;

Tn = 15n - 60

where n represents the term number i.e for example whether is is 10th, 11th , 14th etc

Step-by-step explanation:

Here in this question, we are told to find an explicit formula for the arithmetic sequence.

From the question, the first term a is -45, the common difference d is -30-(-45) = -15-(-30) = 15

Now to find any term at any point in time, we will be needing the explicit formula;

Mathematically; Tn = a + (n-1)d

Substituting for a and d;

Tn = -45 + (n-1)15

Tn =-45 + 15n -15

Tn = 15n -45-15

Tn = 15n -60

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."

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step-by-step explanation:

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