Yourlocalyahia Yourlocalyahia
  • 22-11-2020
  • Mathematics
contestada

Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.

Respuesta :

jimrgrant1 jimrgrant1
  • 22-11-2020

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Answer Link

Otras preguntas

Write an original sentence in which you use the conjunction but to join an independent clause to a phrase.
Three numbers whose sum is 57
Which is a sentence fragment?  A.Turn around!  B.On the windshield lay a flyer.  C.Boots, scarves, and coats in a jumble by the door.  D.Standing alone in the c
The Least Common Multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Justify your answer.
Which is a sentence fragment?  A.Turn around!  B.On the windshield lay a flyer.  C.Boots, scarves, and coats in a jumble by the door.  D.Standing alone in the c
Two children share out 96 sweets into piles in the ratio 5:7 calculate how many sweets are in the small pile.
ann has the 5 newest music CD's which is 3 less than twice the amount that Bob has.
to have batting averages over 0.500, how may hits in 45 times at bat would Raul and Karen need?
which anion will form a precipitate with Ca2+
What is m-4=2m? Show work/check please!