Find the simplest form of the general term for the sequence 11, 15, 19, 23, . . a. 4n + 7 b. 8n + 3 c. 8n + 2 d. 10n + 1

Step-by-step explanation:

We are given a sequence 11, 15, 19, 23, . . . which shows a arithmetic progression having common difference d= 15-11=4

The First term a=11

We know that in Arithmetic Progression , the nth term of A.P is given by :-

Put the values of a and d in the above equation.

Hence, the simplest form of the general term for the given sequence:

translate k to n and reflect across the line containing jk.

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: