Find the sum of the 10 terms of the geometric series with a1=4 and r=2

The sum of the first 10 terms is 4092

Step-by-step explanation:

We can use the formula for a partial sum of a geometric series of first term  and common ratio r, which is given by:

Therefore, in this particular case where we add the first 10 terms of a geometric series with first term 4 and the common ratio 2, we have:

The sum of the 10 terms of geometric series is 4092

Explanation:

Given in the question, the series that will be formed is in Geometric Progression (GP) is the common ratio is mentioned here

According to GP, the sum of a series is given by the formula;

Then, according to question,

a is given as 4, n is given as 10 and r is given as 2.

=

=  4(1023)= 4092

Therefore, the sum of the 10 terms of geometric series is 4092

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

addition

step-by-step explanation: