Answer:
A = -11
C = 13
F = -15
J = 17
Step-by-step explanation:
Inductive reasoning is the use of observations to draw a conclusion.
The sequence of numbers in this problem is:
-3, 5, -7, 9, ...
A pattern is observed and that pattern is:
(n + 1) th term = |nth term| + 2 (with alternating negative signs)
for instance if (n+1)th term = 2nd term; nth term = 1st term
2nd term = |1st term| + 2
2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)
-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)
4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)
-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)
6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)
if you use the same sequence for F and J, you will get:
F = -15
J = 17
you should try them out to see if you will get the same solution.
