Determine whether the following sequences are arithmetic. If so, identify the common difference.
9, 15, 21, 27, ...

Yes the sequence is arithmetic

The common difference is 6

Step-by-step explanation:

Determine whether the following sequences are arithmetic. If so, identify the common difference.

9, 15, 21, 27, ...

The sequence given in the above question is arithmetic because it follows the formula

Un = a + (n -1)d

Where

a= First term

n = Number of terms

d = Common difference

The common difference is calculated as the

Second term - First term

15 - 9

= 6

or the Third term - Second term

21 - 15

= 6

or the Fourth term - Third term

= 27 - 21

= 6

Therefore, the Common difference = 6

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:

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