Math Problem Statement

next term in arithmetic sequence 10,4,-2,

Solution

This is an arithmetic sequence, where the difference between consecutive terms is constant. To find the common difference, subtract any term from the previous one:

Common difference=410=6\text{Common difference} = 4 - 10 = -6 Now, use the common difference of 6-6 to find the next term:

Next term=2+(6)=8\text{Next term} = -2 + (-6) = -8

Thus, the next term in the sequence is 8-8.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the 10th term of this arithmetic sequence?
  2. How do you find the general formula for the nn-th term of an arithmetic sequence?
  3. What is the sum of the first 5 terms in this sequence?
  4. How can you identify if a sequence is arithmetic or geometric?
  5. Can the common difference of an arithmetic sequence ever change?

Tip: In an arithmetic sequence, the formula for the nn-th term is given by an=a1+(n1)da_n = a_1 + (n-1)d, where a1a_1 is the first term and dd is the common difference.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Common Difference
Sequences

Formulas

Common difference: d = a_n - a_{n-1}
Next term formula: a_{n+1} = a_n + d

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 6-8