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