The third, fourth and fifth term of a geometric progression are t+3, t+8 and t+18. find the common ratio, first term and the sum of the first twelve terms.

In geometric progressions, the ratio between consecutive terms is constant. This implies that

Solve this equation and you'll find the solution t=2.

So, the 3rd, 4th and 5th terms are (plug t=2 in the given terms)

So, the series goes on multiplying terms by 5, and it is

The sum of the first 12 terms is:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement