Question

What are the first five terms of the arithmetic sequence defined explicitly by the formula an=14-3n a. -3, 0, 3, 6,9 b. 14, 17, 20, 23, 26 c. 14, 11, 8, 5, 2 d. 11, 8, 5, 2, -1

Answer 1

Answer:

Option D. is the answer.

Step-by-step explanation:

Explicit formula of the arithmetic sequence is defined by the formula

$a_{n}=14-3n$

Where $a_{n}$ = nth term of the sequence

n = number of term

We have to find the first five terms of this sequence.

For n = 1,

$a_{1}=14-3(1)=11$

For n = 2,

$a_{2}=14-3(2)=8$

For n = 3,

$a_{3}=14-3(3)=5$

For n = 4,

$a_{4}=14-3(4)=2$

For n = 5,

$a_{5}=14-3(5)=-1$

Therefore, the sequence will be 11, 8, 5, 2, -1............

Option D. will be the answer.