What is the nth term rule of the sequence 3/8/13 18?

When will the next bus arrive? How many people can fit inside a stadium? How much money will I earn this year? All these questions can be answered by learning how arithmetic sequences work. The progression of time, triangular patterns (bowling pins, for example), and increases or decreases in quantity can all be expressed as arithmetic sequences.
How do you find the #n#-th term of 3, 8, 13, 18, 23?

Precalculus

1 Answer

What is the nth term rule of the sequence 3/8/13 18?

LM

Apr 3, 2017

#a_n=5n-2#

Explanation:

#3, 8, 13, 18, 23#

#8-3=5#
#13-8=5#
#18-13=5#

#therefore 3, 8, 13, 15, 23..#is a linear sequence, with a common difference#(d)#of#5#.

#n: 1, 2, 3, 4, #
#s: 3, 8, 13, 18#

#5*1=5#
#5-2=3#

#5*2=10#
#10-2=8#

#therefore a_n=5n-2#
(#a_1=3#)

Answer link

Related questions
  • How do I determine the molecular shape of a molecule?

  • What is the lewis structure for co2?

  • What is the lewis structure for hcn?

  • How is vsepr used to classify molecules?

  • What are the units used for the ideal gas law?

  • How does Charle's law relate to breathing?

  • What is the ideal gas law constant?

  • How do you calculate the ideal gas law constant?

  • How do you find density in the ideal gas law?

  • Does ideal gas law apply to liquids?

Impact of this question

4151 views around the world

What is the nth term rule of the sequence 3/8/13 18?

You can reuse this answer
Creative Commons License

What is the pattern and rule for 3 8 13 18?

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term.

What do you expect is the next number in the following sequence 3/8/13 18 23?

So the answer is c = 38 43.

What is the 101th term of the sequence 3 8 13 18?

So 100th term is 498.

What is the sum of the first 15 terms of the sequence 3 8 13 18?

Answer : 570.