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What is the missing terms of the arithmetic
sequence of 27, _____, _____, _____, _____, -13

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Answer:

19, 11, 3, -5

Explanation:

what is the missing terms of the arithmetic

sequence of 27, _____, _____, _____, _____, -13

Formula of an arithmetic sequence : an = d (n - 1) + c, d is the common difference between consecutive terms, and c = a1.

27 is the first term of the formula.

-13 is the sixth term of the formula.

Do a system of equations to determine d and c.

27 = d(1-1) +c

-13 = d(6-1) + c

27 = c

-13 = 5d + 27

27 = c

-40=5d

27=c

d= -8

We should determine what is a2, a3, a4 and a5.

a2 = -8 (2 - 1) + 27

a2 = 19

a3 = - 8(3-1) + 27

a3 = 11

a4 = -8(4-1) + 27

a4 = 3

a5 = -8(5-1) + 27

a5 = -5

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