Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the first four terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ . $\newline$ $a_n = 3n - 5$ $\newline$ ___, _, _, ___

View step-by-step help

View step-by-step help

Evaluate variable expressions for number sequences

Full solution

Q. Find the first four terms of the sequence defined below, where

n

represents the position of a term in the sequence. Start with

n = 1

.

\newline

a_n = 3n - 5

\newline

_____, _____, _____, _____

Find first term: Find the first term of the sequence, $a_1$ . $\newline$ $a_1 = 3n - 5$ $\newline$ Substitute $n = 1$ into the formula to find $a_1$ . $\newline$ $a_1 = 3(1) - 5$ $\newline$ $a_1 = 3 - 5$ $\newline$ $a_1 = -2$
Find second term: Find the second term of the sequence, $a_2$ . $\newline$ $a_2 = 3n - 5$ $\newline$ Substitute $n = 2$ into the formula to find $a_2$ . $\newline$ $a_2 = 3(2) - 5$ $\newline$ $a_2 = 6 - 5$ $\newline$ $a_2 = 1$
Find third term: Find the third term of the sequence, $a_3$ . $\newline$ $a_3 = 3n - 5$ $\newline$ Substitute $n = 3$ into the formula to find $a_3$ . $\newline$ $a_3 = 3(3) - 5$ $\newline$ $a_3 = 9 - 5$ $\newline$ $a_3 = 4$
Find fourth term: Find the fourth term of the sequence, $a_4$ . $\newline$ $a_4 = 3n - 5$ $\newline$ Substitute $n = 4$ into the formula to find $a_4$ . $\newline$ $a_4 = 3(4) - 5$ $\newline$ $a_4 = 12 - 5$ $\newline$ $a_4 = 7$

More problems from Evaluate variable expressions for number 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