Answer:In an arithmetic sequence, the difference between consecutive terms is constant. Let us denote the common difference by d.
We know that a2 = -5, which means that the second term of the sequence is -5. Using the formula for the nth term of an arithmetic sequence, we can write:
a2 = a1 + d
-5 = a1 + d
We also know that a6 = 7, which means that the sixth term of the sequence is 7:
a6 = a1 + 5d
7 = a1 + 5d
We now have two equations with two unknowns (a1 and d), which we can solve for using substitution or elimination.
Substituting -5 = a1 + d into 7 = a1 + 5d, we get:
7 = -5 + 6d
12 = 6d
d = 2
Substituting d = 2 into -5 = a1 + d, we get:
a1 = -7
So the arithmetic sequence is: -7, -5, -3, -1, 1, 3, ...
The 5th term of this sequence is -1
Explanation: