Math Problem Statement

2, 4, 6, 8, 10, 12, 14, ?

Solution

This sequence is an arithmetic sequence where the difference between consecutive terms is 2. To find the next term after 14:

Next term=14+2=16\text{Next term} = 14 + 2 = 16

Thus, the next number in the sequence is 16.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the general formula for an arithmetic sequence?
  2. How do you find the nth term of an arithmetic sequence?
  3. What is the sum of the first 10 terms of this sequence?
  4. Can you create a geometric sequence from a similar pattern?
  5. What happens if the common difference is a negative number?

Tip: In arithmetic sequences, the common difference stays the same between all consecutive terms, making it easy to predict future values.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Sequences and Series

Formulas

Next term of an arithmetic sequence: a_n = a_(n-1) + d

Theorems

Arithmetic Sequence Formula

Suitable Grade Level

Grades 5-7