Given that the sum of the first n terms of the provided series is 6560 determine the value of n (2,6,18,54.)

n = 8

Step-by-step explanation:

The given sequence, 2, 6, 18, 54. . ., is a geometric sequence.

It has a common ratio of 3 =>

Thus, the sum of the first n terms of a geometric sequence is given as

Where,

= first term of the series = 2

r = common ratio = 3

= sum of the first n terms = 6,560

Plug in the above values into the formula

Multiply both sides by -1

Subtract 1 from both sides

Evaluate

3 cancels 3

The value of n = 8

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

ιт 45,000 мєтєяѕ тσ ℓαѕ νєgαѕ

нσρє ι ¢συℓ∂ нєℓρ