MAT - Paper 2011 - Q5

2021-08-12
1 min read

Flashcards

What is the general $n$th term for a geometric sequence??

$$ U_n = ar^{n-1} $$

How can you rewrite the formula for the sum of the sequence $U_n = 2^n$??

$$ U_n = 2 \cdot 2^{n-1} $$

What is the formula for the sum of the sequence $U_n = 2^n$??

$$ 2\left(2^n - 1\right) $$

What is the formula for the sum of the sequence $U_n = 4^n$??

$$ \frac{4\left(4^n - 1\right)}{3} $$

What is the formula for the sum of the sequence $U_n = 69^n$??

$$ \frac{69\left(69^n - 1\right)}{68} $$

$$2 + 2^3 + 2^5$$ How could you formulate this as a more “standard” geometric sequence??

$$ U_n = 2\cdot4^{n} $$


Metadata
date: 2021-08-12 16:59
summary: how many ways can this robot get to its goal?
tags:
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- '@?maths'
- '@?notes'
- '@?public'
title: MAT - Paper 2011 - Q5