Type the missing number in this sequence: 1, 5, _____, 125, 625, 3,125

Identify Pattern: Identify the pattern in the sequence. The sequence is 1, 5, _____, 125, 625, 3,125. We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant).Check Common Ratio: Check for a common ratio. To find a common ratio in a geometric sequence, we divide a term by its previous term. Let's check the ratio between 625 and 125. 125 / 5 = 25 625 / 125 = 5 3,125 / 625 = 5 The common ratio is 5.Calculate Missing Number: Calculate the missing number using the common ratio. The number before the missing term is 5, and the number after is 125. To find the missing number, we divide 125 by the common ratio of 5. 125 / 5 = 25 The missing number in the sequence is 25.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence: $\newline$ $1$ , $5$ , $\_$ , $125$ , $625$ , $3,125$

View step-by-step help

Home

Math Problems

Algebra 2

Find terms of a geometric sequence

Full solution

Q. Type the missing number in this sequence:

\newline

1

5

\_

125

625

3,125

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence is $1, 5, \_, 125, 625, 3,125$ . We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant).
Check Common Ratio: Check for a common ratio. $\newline$ To find a common ratio in a geometric sequence, we divide a term by its previous term. Let's check the ratio between $625$ and $125$ . $\newline$ $125 / 5 = 25$ $\newline$ $625 / 125 = 5$ $\newline$ $3,125 / 625 = 5$ $\newline$ The common ratio is $5$ .
Calculate Missing Number: Calculate the missing number using the common ratio. $\newline$ The number before the missing term is $5$ , and the number after is $125$ . To find the missing number, we divide $125$ by the common ratio of $5$ . $\newline$ $\frac{125}{5} = 25$ $\newline$ The missing number in the sequence is $25$ .