In arithmetic sequence, a term is obtained by adding a constant number to the preceding term. Sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
375 meters
Step-by-step explanation:
Let: a₁ = 25
n = 15
d = 25
Solve for a_n.
a_n = a₁ + d(n - 1)
a_n = 25 + 25(15 - 1)
a_n = 25 + 25(14)
a_n = 25 + 350
a_n = 375
Therefore, the distance from the first street light to the last street light is 375 meters.
Answers & Comments
Answer:
Arithmetic Sequence
In arithmetic sequence, a term is obtained by adding a constant number to the preceding term. Sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
375 meters
Step-by-step explanation:
Let: a₁ = 25
n = 15
d = 25
Solve for a_n.
a_n = a₁ + d(n - 1)
a_n = 25 + 25(15 - 1)
a_n = 25 + 25(14)
a_n = 25 + 350
a_n = 375
Therefore, the distance from the first street light to the last street light is 375 meters.