Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the first five terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n = 1$ . $\newline$ $a_n = -8n - 10$ $\newline$ ___, _, _, _, ___

View step-by-step help

View step-by-step help

Evaluate variable expressions for number sequences

Full solution

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

n

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

n = 1

.

\newline

a_n = -8n - 10

\newline

_____, _____, _____, _____, _____

Find first term: Find the first term of the sequence, $a_1$ . $\newline$ $a_1 = -8n - 10$ $\newline$ Substitute $n = 1$ into the formula to find $a_1$ . $\newline$ $a_1 = -8(1) - 10$ $\newline$ $a_1 = -8 - 10$ $\newline$ $a_1 = -18$
Find second term: Find the second term of the sequence, $a_2$ . $\newline$ $a_2 = -8n - 10$ $\newline$ Substitute $n = 2$ into the formula to find $a_2$ . $\newline$ $a_2 = -8(2) - 10$ $\newline$ $a_2 = -16 - 10$ $\newline$ $a_2 = -26$
Find third term: Find the third term of the sequence, $a_3$ . $\newline$ $a_3 = -8n - 10$ $\newline$ Substitute $n = 3$ into the formula to find $a_3$ . $\newline$ $a_3 = -8(3) - 10$ $\newline$ $a_3 = -24 - 10$ $\newline$ $a_3 = -34$
Find fourth term: Find the fourth term of the sequence, $a_4$ . $\newline$ $a_4 = -8n - 10$ $\newline$ Substitute $n = 4$ into the formula to find $a_4$ . $\newline$ $a_4 = -8(4) - 10$ $\newline$ $a_4 = -32 - 10$ $\newline$ $a_4 = -42$
Find fifth term: Find the fifth term of the sequence, $a_5$ . $\newline$ $a_5 = -8n - 10$ $\newline$ Substitute $n = 5$ into the formula to find $a_5$ . $\newline$ $a_5 = -8(5) - 10$ $\newline$ $a_5 = -40 - 10$ $\newline$ $a_5 = -50$

More problems from Evaluate variable expressions for number sequences

Question

What is the period of

\newline

y=-2 \sin \left(\frac{2}{3} x-4\right) ?

\newline

Give an exact value.

\newline

Posted 10 months ago

Question

What is the period of

\newline

y=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ?

\newline

Give an exact value.

\newline

Posted 10 months ago

Question

z=91-27 i

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

z=-19 i+14

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

z=-302+19.3 i

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

The sum of the first

3

terms of a geometric series is

171

and the common ratio is

\frac{2}{3}

\newline

What is the first term of the series?

Posted 10 months ago

Question

The first term in a geometric series is

5

and the common ratio is

2

\newline

Find the sum of the first

10

terms in the series.

Posted 10 months ago

Question

What happens to the value of the expression

70-3 g

g

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Question

What happens to the value of the expression

m-10

m

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Question

What happens to the value of the expression

20+a

a

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant