Question

Find a formula for geometric series that begins with 28, 98, 343,...​

Answer 1

Answer:

Step-by-step explanation:

In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the seies shown,

a = 28

r = 98/28 = 343/98 = 3.5

The formula representing the nth term of the given sequence would be expressed as

Tn = 28 × (3.5)^(n - 1)