See the attached picture for the steps and answer.
In this question, it is given that the eighth term is 78 and the explicit formula is

And the recursive formula is

And we have to find the 20th term . And for that, we put 20 for x in the explicit formula. That is

Therefore on using the explicit formula, we will get 198 as the 20th term .
Answer:
Step-by-step explanation:
(2-3)⁴ *4 - 9 + 3 = (-1)⁴ *4 - 9 + 3
= 1*4 - 9 +3
= 4 - 9 + 3
= - 5 + 3
= - 2
Answer:
(3,-2)
Step-by-step explanation:
Part A:
1) <em>Isolate x in x - y = 5</em>
x = y + 5
2) <em>Substitute that x into 4x+y=10</em>
4(y + 5) + y = 10
4y + 20 + y = 10
5y = 10-20
5y = -10
y = -2
3) Use y to solve for x:
x = -2 + 5
x = 3
Part B:
<em>Verify using results from Part A</em>
3 - (-2) = 5
4(3) + (-2) = 12 - 2 = 10
Part C:
<em>Just graph the equations and see where they intersect, which is exactly (3,-2). We got that in Part A and B</em>