Find the next two numbers in the sequence: 2, 5, 11, 23, Simplify: 3x + 5x − 2x

Question

ScanSolve AI Tutor · Accepted Answer

here are the solutions to the problems:

SECTION D - NUMBER PATTERNS & ALGEBRAIC PROCESSES

$5 - 2 = 3$  
$11 - 5 = 6$  
$23 - 11 = 12$  
The differences are doubling ($3, 6, 12$).

The next difference will be $12 \times 2 = 24$ .
$$ 23 + 24 = 47 $$
The difference after that will be $24 \times 2 = 48$ .
$$ 47 + 48 = 95 $$ The next two numbers are $\boxed{\text{47, 95}}$. The correct option is **C**.
18. Simplify: $3x + 5x - 2x$
Combine the like terms by adding and subtracting their coefficients.
$$ 3x + 5x - 2x = (3+5-2)x $$ $$ = (8-2)x $$ $$ = 6x $$ The answer is $\boxed{6x}$. The correct option is **B**.
19. Solve: $2x + 5 = 17$
Subtract 5 from both sides of the equation to isolate the term with $x$ .
$$ 2x + 5 - 5 = 17 - 5 $$ $$ 2x = 12 $$

$$
\frac{2x}{2} = \frac{12}{2}
$$
$$
x = 6
$$
The answer is $\boxed{6}$.  
The correct option is **B**.

Find the next two numbers in the sequence: 2, 5, 11, 23, Simplify: 3x + 5x - 2x