Consider the series given below.
2, 6, 18, 54,
given that the sum of the first n terms of the provided series is 6,560, determine the value of n.

n = 8

Step-by-step explanation:

This is a geometric sequence where the sum to n terms is

=

where a is the first term and r the common ratio

r = 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3 and a = 2, thus

= 6560

= 6560 ← cancel the 2

  - 1 = 6560 (add 1 to both sides )

= 6561

note that 6561 = , hence

= ⇒ n = 8

not sure but it may be b, as i said i'm not sure.

k

step-by-step explanation:

domit