what is arithmetic sequence
Answers
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Here,
each successive number is the sum of the previous number and some constant d.
an = a + (n − 1) × d
Where
a = First term
d = Common difference
n = number of terms
an = nth term
The constant difference in all pairs of consecutive numbers in a sequence is called the common difference, denoted by the letter d.
For example , the sequence 1,3,5,7, . . . is an arithmetic progression with a common difference of 2.
Answer:
- A sequence in Wich a successive term is found by ADDING a constant value to the previous term is called an arithmetic sequence
-Arithmetic sequence is a sequence of numbers such that the different between the concecutine term is constant.
FORMULA:
an = a1 + (n-1) d
an = nth term or the value of the unknown term.
a = the term
n = order of the term or what you where looking for
d = common difference
EXAMPLE:
7, 10, 13, 16
finding the 12th term
given
- a1 = 7
n = 12
d = 3
(PICTURE EXAMPLE!!)
Step-by-step explanation:
where did I get the a12?
because that is the term you where finding for, it's the 12th term
where did I get the a1 became 7?
because that is the first term, the first number
where did I get the the 12?
I get it from the a12
where did I get the 3?
that's the number you are adding. like 7+3=10 and 10+3=13
let's continue how to solve the problem.
first subtract the (12-1) and it equals to (11) don't erase the open and close parenthesis
after that multiply the (11)3, 11×3=33
next is, add the 7 and 33, 7+33=40
the final answer is a12 = 40
LOOK AT THE PICTURE!!!
