Find the 4th term if the sequend in which a1 = 2 and an+1 = -4an + 2.

1 answer:

8 0

The notation, more or less indicates that, the first value in the sequence is 2, the next term's value, will be "current value, times -4 and plus 2"

thus $\bf \begin{array}{ccllll}
a_n\ term&&value\\
\text{\textemdash\textemdash\textemdash}&&\text{\textemdash\textemdash\textemdash}\\
a_1&&2\\
a_2&-4a_1+2&-4(2)+2\implies -6\\
a_3&-4a_2+2&-4(-6)+2\implies 26\\
a_4&-4a_3+2&-4(26)+2\implies -102
\end{array}$

You might be interested in

Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th

soldier1979 [14.2K]

Answer:

$\frac{9}{20}$ students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

$\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}$