Math Problem Statement

Write the first term of the arithmetic sequence with the first term a1=2, and the common difference. d=5

Solution

The first term of the arithmetic sequence is simply the value of a1a_1. Given that a1=2a_1 = 2 and the common difference d=5d = 5, the first term is:

a1=2a_1 = 2

Would you like details or have any questions? Here are five related questions to expand on this:

  1. What is the second term of this 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 arithmetic sequence?
  4. How does the common difference affect the sequence?
  5. Can you derive a formula to find the sum of the first n terms of any arithmetic sequence?

Tip: In arithmetic sequences, the nth term can be found using the formula an=a1+(n1)×da_n = a_1 + (n-1) \times d.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences

Formulas

Arithmetic sequence formula: \( a_n = a_1 + (n-1) \times d \)

Theorems

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Suitable Grade Level

Grades 7-9