bobxspam bobxspam
  • 02-02-2019
  • Mathematics
contestada

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.

Respuesta :

Аноним Аноним
  • 02-02-2019

Answer:

t1 = 2d.

Step-by-step explanation:

The explicit formula for an arithmetic series is

The nth term  tn =  t1 + d(n - 1)    where t1 = the first term , d = common difference and n = term number.

so t17 = t1 + 17d - d  = t1 + 16d

and t5 = t1 + 5d - d = t1 + 4d

So  t1 + 16d = 3(t1 + 4d)

2t1 =  16d - 12d = 4d

t1 = 2d  (answer).


Answer Link

Otras preguntas

Item 3 Question 1 The triangle on the left is transformed into the triangle on the right. Two triangles side by side in the same position with a right arrow bet
What medium, invented in the twentieth century, resembles oil paint, but dries very quickly and is far more durable
​Elaborate the functions of the three-tiered federal court system.
Based on the graph, which of the following represents a solution to the equation?
No links please. Fill in the blanks. 67ns=[?]x10^[?]s
Iron Maiden’s reference to the line from Shakespeare’s play is an example of cultural allusion. Literary allusion. Historical allusion. Religious allusion.
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to
Find the solution to the system.
The layer of earth that is the only liquid layer is the:.
Help assap A lot of points