38.4k views
5 votes
Evaluate the geometric series . 254 255 508 510

2 Answers

2 votes
A1 is the first term in the sequence. To find the explicit formula, you will need to be given the first term and use the value in the formula. r is the common ratio for the geometric sequence. You will be given this value or be given information to compute it.
User Steven Leimberg
by
6.4k points
5 votes

Answer with explanation:

The given geometric series is : 254, 255, 508, 510,....

→If you will look at the first term and third term , it is

254, 254 × 2,

So,First Half of the series will be as follows :

254×1, 254×2, 254×3,254×4,254×5........

→And if you will look at the second term and fourth term, it is as follows:

255, 255×2,

So,Second Half of the series will proceed as follows:

255×1, 255×2, 255×3, 255×4,.........

⇒So, the whole series will be as follows:

254, 255, 254×2,255×2,254×3,255×3,254×4,255×4,....

User Elquimista
by
6.3k points