Question

what is the 8th term of the geometric sequence 1 2 4 8​

Answer 1

Answer:

The answer is 512. The first term of a geometric series is 2, the nth term is 486, and the sum of the n terms is 255.

Answer 2

Given: A geometric sequence 1, 2, 4, 8,..

To find: The 8th term of the geometric sequence.

Solution:

• A geometric sequence is a sequence whose consecutive terms have a common ratio between them.
• To find a term in a geometric sequence, the following formula is used.

        $t_{n} = ar^{n-1}$

• Here, $t_{n}$ is the $n^{th}$ term to be found, a is the first term of the sequence and r is the common ratio.
• So, the eighth term is calculated as,

        $t_{8} = (1) (2)^{7}$

            $= 128$

Therefore, the 8th term of the geometric sequence is 128.