Use inductive reasoning to determine the next two terms in each pattern 1. ) 2, 3, 7, 16, 32, ___, ___
2.) 5, 7, 11, 17, 25, 35, ___, ___
3.) [2, 10], [1, 5], [0.25, 1.25], ___, ___

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

step-by-step explanation:

infinity is the answer