Write a formula for the general term the nth term of the ari

Write a formula for the general term (the nth term) of the arithmetic sequence shown below Do not use a recursion (omnia Then mt 20th term of the sequence a_1= -16. d =-9

Solution

The general formula for the arithmetic progression is a_n= a₁ + (n-1) d

where a_n= nth term of the sequence,a₁=1st term of the arithmetic progression,d=common difference of successive members

For this problem a_{1 is} (-16), and d=(-9).

Therefore , a_n=(-16)+(n-1)(-9)

a₂₀=(-16)+(20-1)(-9)

=(-16)+(19)*(-9)

=(-16-171)

=-187

Hence a₂₀ is -187