The first term of a geometeic series is 1, the common ratio is 2, and the sum of the series is 63. how many terms are there in this geonetric series?

6 terms

Step-by-step explanation:

To find the number of terms we will use the formula:

Sn = a(1-r^n)/1-r

where a is the first term= 1

r is the common ratio = 2

Sn is the sum of series = 63

n is the number of terms = ?

Now substitute the values in the formula:

Sn = a(1-r^n)/1-r

63= 1(1-2^n)/1-2

63=1(1-2^n)/-1

63*-1 = 1(1-2^n)

-63 = 1-2^n

Now combine the constants:

-63-1= -2^n

-64= -2^n

64= 2^n

2^6 = 2^n

When the base are same powers are equal to each other.

6=n

Thus there are 6 terms

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )