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
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