Math Problem Statement

2,4,8,32,256,?

Solution

The given sequence is 2,4,8,32,256,2, 4, 8, 32, 256, and we need to find the next term.

Let's analyze the pattern:

  1. 2×2=42 \times 2 = 4
  2. 4×2=84 \times 2 = 8
  3. 8×4=328 \times 4 = 32
  4. 32×8=25632 \times 8 = 256

It appears that each term is being multiplied by the previous term. Following this pattern:

256×32=8192256 \times 32 = 8192

So, the next term in the sequence is 8192.

Would you like more details, or do you have any other questions?

Here are 5 related questions:

  1. What is the general formula for this sequence?
  2. How does this sequence compare to a geometric sequence?
  3. What would be the 7th term in this sequence?
  4. Can you identify the type of sequence this represents?
  5. What if the pattern changed, how would the sequence evolve?

Tip: When identifying patterns in sequences, always check for both arithmetic and multiplicative patterns first.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Sequences
Multiplication Patterns

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9