A-Level Maths: D5-08 Geometric Sequences: Introducing Summing to Infinity

[kk]

Great Lesson! I Understand it way more! Keep it up! thx

[girlonline]

I’m so confused why is it called a sum to infinity if the sum is a finite number like there’s an endless sum (1+1/2+1/4 …) when -1<r<1 but that’s true even when r<-1 r>1 (1+2+4 …)

[tallula]

Hello, I was wondering if you could help me with this short maths question.
(it was given in the context of infinite geometric sequences, not the simple GCSE question it seems)

1. Write the recurring decimal: 0.3232.. as a rational number.

I assume the rational number is the fraction you get when you plug values a and r into the infinity formula.
However if these were terms in a sequence would it be 3, 2, 3, 2 or 32, 32? I have struggled to find the value of the common ration and first term because of this.

Your help would be much appreciated, Tallula xx

[nosir]

Is the example of using the 2 squares and adding infinite terms an example of countable infinity?

[jackpelling]

is this edexcel a-level or edexcel further?

[kuchbatein]

hey sir, can we say sum of infinity only works on converging sequence?

[hoodoooperator.]

Can't believe they don't teach this at GCSE...