Answer:
The first four terms of the sequence is : A) 7, 17, 37, 77.
Step-by-step explanation:
The given function f(n) = 2 x f(n − 1) + 3
Also, f(1)= 7
<u>FOR n= 2</u>
f(2) = 2 x f(2-1) + 3 = 2 x f(1) + 3
= (2 x 7) + 3 = 14 + 3 = 17
⇒f(2) = 17
<u>FOR n= 3</u>
f(3) = 2 x f(3-1) + 3 = 2 x f(2) + 3
= (2 x 17) + 3 = 34 + 3 = 37
⇒f(3) = 37
<u>FOR n= 4</u>
f(4) = 2 x f(4-1) + 3 = 2 x f(3) + 3
= (2 x 37) + 3 = 74 + 3 = 77
⇒f(4) =77
So, the first four terms of the sequence are 7, 17, 37, 77.
A) is the correct option.
<span>3+6 =9 so ? has to equal 5. so 3+6=4+5 </span>
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
-2x² = 4-3 (x + 1)
-2x² = 4-3x-3
-2x² = -3x -7
0 = 2x² -3x -7
We know that the degree of the equation is the highest power of x variable in the given equation.
In the equation 0 = 2x² -3x -7 the highest power of x variable in the given equation is 2.
Thus, the degree of the equation is 2.
Also in the equation 0 = 2x² -3x -7, the unknown variable is 'x'.
Let us determine the value 'x'
2x² -3x -7 = 0
Add 7 to both sides


Divide both sides by 2


Add (-3/4)² to both sides




solving



Add 3/4 to both sides


similarly solving


So the solution of the equation will have the values of x such as:

3=69.
There is no value between them, except they can be both divided by 3.