What Is The Nth Term Of The Arithmetic Sequence 7, 9, 11, 13, 15, 17, . .?, A. 3n+4, B. 4n+3, C. N+2, D. 2n+5

What is the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . .?

a. 3n+4
b. 4n+3
c. n+2
d. 2n+5

 

Arithmetic Sequence

Finding the nth term:

The nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . .is 2n + 5.

Solution:

1. Given the following:

  a₁ = 7

  a₂ = 9

  a₃ = 11

  a₄ = 13

  a₅ = 15

  a₆ = 17

2. Solve for d.  

   d = a₂ – a₁

   d = 9 – 7

   d = 2

3. Solve for the nth term.

   a_n = a₁ + (n - 1) d

   a_n = 7 + (n – 1) 2

   a_n = 7 + (2n – 2)  

   a_n = 2n + (7 – 2)

   a_n = 2n + 5

4. Therefore, the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . .is 2n + 5.

Definition:

       An arithmetic sequence is a sequence of numbers such that the difference of any two consecutive terms of the sequence is a constant. While an arithmetic series is the sum of the terms of the arithmetic sequence.

Code: 10.3.1.1

For more details on arithmetic sequence, got to the following links:

brainly.ph/question/554855

brainly.ph/question/825249

brainly.ph/question/211921


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