Math Problem Statement
7, 20, 47, 94,
Solution
The sequence provided is: 7, 20, 47, 94, ...
To identify the pattern and find the next term, let's analyze the differences between consecutive terms:
The differences between consecutive terms are: 13, 27, and 47.
Let's examine these differences further:
- The difference between 13 and 27 is .
- The difference between 27 and 47 is .
It seems the second differences are increasing by 6. This suggests the sequence follows a pattern where the difference between consecutive terms increases by an incrementally larger amount each time.
To find the next term:
- The next difference would be .
- Adding this difference to the last term, .
So, the next term in the sequence
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Sequences
Arithmetic Sequences
Patterns in Sequences
Formulas
n-th term of an arithmetic sequence: a_n = a_1 + (n-1) * d
Theorems
Arithmetic sequence theorem
Suitable Grade Level
Grades 7-9