1. an = 2n-1

pahelppp po plss​


Sagot :

The arithmetic sequence : 1,3,5,7,...

Further explanation

Arithmetic sequence is an arrangement of numbers that has the same difference for consecutive pairs of numbers or it can be said that "the difference between one term and the next is a constant. (adding the same number to the next number) "

The sequences :

\tt a,a+d,a+2d,a+3d..a+(n-1)da,a+d,a+2d,a+3d..a+(n−1)d

a = initial term

d = different (common difference)

The formula :

\tt a_n=a+(n-1)da

n

=a+(n−1)d

For the formula of An=2n-1, then the Arithmetic sequence :

\begin{gathered}\tt a_1=2.1-1=1\\\\a_2=2.2-1=3\\\\a_3=2.3-1=5\\\\a_4=2.4-1=7\end{gathered}

a

1

=2.1−1=1

a

2

=2.2−1=3

a

3

=2.3−1=5

a

4

=2.4−1=7

From this sequence shows that the constant value d=common difference=2 and a=initial term=1