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

A large adult elephant weighs 24,000 pounds. A baby elephant, on the other hand, weighs only 260 pounds. How much more does the adult elephant weigh?
whats 9.46 rounded to the nearest tenth?
The value of y is twice the value of x, decreased by one. Find y.
Segment GH is shown on the graph. What are the coordinates of the point that divides the segment into a 3:2 ratio? (–7.5, 0.5) (0.5, –7.5) (–1.2, –2.2) (–2.2, –
Which role does the legislative branch play in making public policy?
A sector is formed in a circle by two radii and an arc that measures 20 degrees . The area of the sector is 27cm squared what is the a
Ancient Egypt was a polytheistic society what does that mean
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
Who was the british general defeated at the battle of yorktown?
What number is a factor of 16, and prime?