The geometric sequence ; is defined by the formula: a i a 1 =10 a i =a i-1 * 9/10 Find the sum of the first 75 terms in the sequence .

Question:

The geometric sequence ; is defined by the formula: ; Find the sum of the first 75 terms in the sequence .

Step-by-step explanation:

Given

Required

Find the sum of 75 terms

Given that the sequence is geometric;

First, the common ratio has to be calculated;

The common ratio is defined as follows;

Let

So,

becomes

Divide through by

Recall that

So,

Given that r < 1;

The sum of n terms is calculated as thus;

To calculate the sum of the first 75 terms, we have the following parameters

becomes

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: