What is the #n th# term for an AP with a common difference of #-4.5?#

1 Answer

Answer:

The sequence will be: #T_n = a-4.5n+4.5#

Explanation:

We know the general equation for nth term of an A.P.series is

#T_n =a+(n-1)d#

where #a# is the first term of the series and #d# is the common difference.

Now for the common difference (#d = -4.5 #) the sequence will be:

#T_n = a+(n-1)(-4.5)#

Simplifying gives: #T_n = a-4.5n+4.5#

The summation of all the terms will be:

#S_n =n/2(2a+(n-1)d)# where #d# is the common difference.

In your question #d=-4.5#.