Fiona and lawrence both save money
fiona saves £50 in the first month and then increases the amount she saves by £10 per month after
lawrence saves £50 in the first month and then increases the amount he saves by 10% per month thereafter
write down expressions for the total amount saved by fiona and lawrence after x months
can anyone also tell me which topic this comes under thanks
sequences and series! Fionas savings form a sequence 50+10(x-1), where x is the number of months (as 50=month 1, etc). Laurance’s grows exponentially and forms a sequence 50x1.1^(x-1), as he increases by 10% each month. Their total is 50+10(x-1)+50•1.1^(x-1) , which is 50(1+0.2(x-1)+1.1^(x-1)). Sorry this is rushed and it may be wrong, but you’re looking at sequences and series!!
thank you very much for the explanation. Really appreciate you giving the time to answer. one thing, the reason you used x-1 is because you already accounted for the first month