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Derive the formula (1.4) for the sum Sn of the geometric progression Sn = a + ar + ar2 +
Chapter 1, Problem 2(choose chapter or problem)
Derive the formula (1.4) for the sum Sn of the geometric progression Sn = a + ar + ar2 + + arn1. Hint: Multiply Sn by r and subtract the result from Sn; then solve for Sn. Show that the geometric series (1.6) converges if and only if |r| < 1; also show that if |r| < 1, the sum is given by equation (1.8).
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QUESTION:
Derive the formula (1.4) for the sum Sn of the geometric progression Sn = a + ar + ar2 + + arn1. Hint: Multiply Sn by r and subtract the result from Sn; then solve for Sn. Show that the geometric series (1.6) converges if and only if |r| < 1; also show that if |r| < 1, the sum is given by equation (1.8).
ANSWER:Step 1 of 2
Given
To derive a formula for 
Multiplying 
Subtracting equation (ii) from equation (i),
Thus, the sum of a geometric series with first term 
