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3.7 Recurrence Relations

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Question 16

The electrical current $I_n$ , measured in milliamperes, flowing through a logic gate is monitored at discrete clock cycles. The sequence of current values is defined by the recurrence relation

I_1 = 0.4 \quad \text{and} \quad I_{n+1} = \frac{1}{2I_n} \quad \text{for } n \ge 1

Find the values of $I_2$ , $I_3$ and $I_4$ .

[3]

State the period of the sequence.

[1]

Determine the exact value of $∑n=1101In\sum_{n=1}^{101} I_n$ .

[3]

Markscheme

3.7 Recurrence Relations Questions

A Level
Maths
3.7 Recurrence Relations

35 exam-style questions on Edexcel A Level Maths 3.7 Recurrence Relations. Each one has a worked solution and a mark scheme showing where the marks go.

3.7 Recurrence Relations

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3.7 Recurrence Relations

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Question 16

The electrical current $I_n$ , measured in milliamperes, flowing through a logic gate is monitored at discrete clock cycles. The sequence of current values is defined by the recurrence relation

I_1 = 0.4 \quad \text{and} \quad I_{n+1} = \frac{1}{2I_n} \quad \text{for } n \ge 1

Find the values of $I_2$ , $I_3$ and $I_4$ .

[3]

State the period of the sequence.

[1]

Determine the exact value of $∑n=1101In\sum_{n=1}^{101} I_n$ .

[3]

Markscheme

3.7 Recurrence Relations Questions

A Level
Maths
3.7 Recurrence Relations

35 exam-style questions on Edexcel A Level Maths 3.7 Recurrence Relations. Each one has a worked solution and a mark scheme showing where the marks go.