Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[{[g(1)=50],[g(n)=8-g(n-1)]:}],[g(2)=◻]:}

$\begin{array}{l}\left\{\begin{array}{l}g(1)=50 \\ g(n)=8-g(n-1)\end{array}\right. \\ g(2)=\square\end{array}$

View step-by-step help

View step-by-step help

Evaluate recursive formulas for sequences

Full solution

Q.

\begin{array}{l}\left\{\begin{array}{l}g(1)=50 \\ g(n)=8-g(n-1)\end{array}\right. \\ g(2)=\square\end{array}

Initial condition and recursive formula: We have the initial condition and the recursive formula: $\newline$ g( $1$ ) = $50$ $\newline$ g(n) = $8$ - g(n - $1$ ) $\newline$ To find g( $2$ ), we need to use the recursive formula with n = $2$ .
Substituting $n = 2$ into the recursive formula: Substitute $n = 2$ into the recursive formula: $\newline$ $g(2) = 8 - g(2 - 1)$ $\newline$ $g(2) = 8 - g(1)$ $\newline$ Now we can use the initial condition $g(1) = 50$ to find $g(2)$ .
Using the initial condition to find $g(2)$ : Substitute $g(1) = 50$ into the equation: $\newline$ $g(2) = 8 - 50$ $\newline$ $g(2) = -42$
Finding the value of $g($ $2$ ): We have found the value of $g($ $2$ ):
$g($ $2$ ) = $-42$

More problems from Evaluate recursive formulas for sequences

Question

Find the sum of the finite arithmetic series.

\sum_{n=1}^{10} (7n+4)

\newline

Posted 2 months ago

Question

Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`

Posted 1 month ago

Question

Type the missing number in this sequence: `2, 4 8`, ______,`32`

Posted 2 months ago

Question

What kind of sequence is this?

2, 10, 50, 250, \ldots

Choices:Choices:

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 2 months ago

Question

What is the missing number in this pattern?

1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_

Posted 1 month ago

Question

Classify the series.

\sum_{n = 0}^{12} (n + 2)^3

\newline

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 6 + 11 + 16 + 21 + 26 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 1 month ago

Question

Find the third partial sum of the series.

\newline

3 + 9 + 15 + 21 + 27 + 33 + \cdots

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

S_3 =

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 7 + 13 + 19 + 25 + 31 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 2 months ago

Question

Does the infinite geometric series converge or diverge?

\newline

1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots

\newline

\newline

\text{[A]converge}

\newline

\text{[B]diverge}

Posted 1 month ago