Questions: QUESTION 3 3.1 The first two terms of an infinite geometric sequence are 8 and 8/√2. Prove, without the use of a calculator, that the sum of the series to infinity is 16 + 8√2. 3.2 The following geometric series is given: x = 5 + 15 + 45 + ... to 20 terms. 3.2.1 Write the series in sigma notation. 3.2.2 Calculate the value of x.

QUESTION 3 3.1 The first two terms of an infinite geometric sequence are 8 and 8/√2. Prove, without the use of a calculator, that the sum of the series to infinity is 16 + 8√2. 3.2 The following geometric series is given: x = 5 + 15 + 45 + ... to 20 terms. 3.2.1 Write the series in sigma notation. 3.2.2 Calculate the value of x.
Transcript text: QUESTION 3 3.1 The first two terms of an infinite geometric sequence are 8 and $\frac{8}{\sqrt{2}}$. Prove, without the use of a calculator, that the sum of the series to infinity is $16+8 \sqrt{2}$. 3.2 The following geometric series is given: $x=5+15+45+\ldots$ to 20 terms. 3.2.1 Write the series in sigma notation. 3.2.2 Calculate the value of $x$.
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