Math Problem Statement

The first term in a sequence is 12

The term-to-term rule is + 4

What is the 5th term?

Solution

The first term of the sequence is 1212, and each term is obtained by adding 4 to the previous term.

We can calculate the first few terms as follows:

  • 1st term: 1212
  • 2nd term: 12+4=1612 + 4 = 16
  • 3rd term: 16+4=2016 + 4 = 20
  • 4th term: 20+4=2420 + 4 = 24
  • 5th term: 24+4=2824 + 4 = 28

Thus, the 5th term is 2828.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

  1. What would be the 10th term in the sequence?
  2. How can you express the nn-th term of this sequence algebraically?
  3. What type of sequence is this, and what is its common difference?
  4. Can you determine the sum of the first 5 terms of this sequence?
  5. How would the sequence change if the term-to-term rule was +6+6 instead of +4+4?

Tip: Sequences like this are called arithmetic sequences because they have a constant difference between consecutive terms.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Addition

Formulas

n-th term of an arithmetic sequence: a_n = a_1 + (n-1) * d

Theorems

Arithmetic Sequence Formula

Suitable Grade Level

Grades 6-8