jihoonsqt
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Write an explicit formula for the geometric sequence below and use it to find the 9th term.

256, 64, 16, 4, . . .

Sagot :

Answer:

The explicit formula is;

Tn = 256(1/4)^(n-1)

The 9th term is;

256/65536

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as;

Tn = ar^(n-1)

a is the first term = 256

r is the common ratio = 64/256 = 16/64 = 4/16 = 1/4

So, for the 9th term, we have

T9 = 256(1/4)^(9-1) = 256/65536

The explicit formula is;

Tn = 256(1/4)^(n-1)

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.