Answered

Get the answers you've been looking for with the help of IDNLearn.com's expert community. Get prompt and accurate answers to your questions from our experts who are always ready to help.

The terms in the sequence decrease by the same amount each time:

9, 6 ,3 ,0, -3, -6

Work out ,in term of n, the nth term of the sequence

Sagot :

TutorAnneidn

Answer:the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn=  a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that  the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn=  a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.