The Student Room Group

C2 geometric sequences- least value of n

" Find the least value of n such that the sum 3+6+12+24+... to n terms would first exceed 1.5 million"

463b23e1-5c85-41a5-a70b-672aecc2567e.jpg

This is my working attached and my answer is slightly different to that of the book's. (The book's answer is my last line of working). The answer I got to was 19.93. Can someone tell me where I went wrong?
Original post by jessyjellytot14
Can someone tell me where I went wrong?


there should be a fullstop after million
Original post by username..1111
there should be a fullstop after million


Will I get the right answer if I put a full stop after million?

Spoiler

it is a GP with a = 3 & r = 2

Sn = {a ( 1 - r n )} / ( 1 - r ) > 1500000

put in the values for a, r & find n. you may need logarithms ?
Reply 4
Original post by jessyjellytot14
" Find the least value of n such that the sum 3+6+12+24+... to n terms would first exceed 1.5 million"

463b23e1-5c85-41a5-a70b-672aecc2567e.jpg

This is my working attached and my answer is slightly different to that of the book's. (The book's answer is my last line of working). The answer I got to was 19.93. Can someone tell me where I went wrong?


The sum, not the term
Reply 5
am I too late?
Original post by TeeEm
am I too late?


yup , i was 22 mins too late ;(
Original post by Naruke
The sum, not the term


Original post by the bear
it is a GP with a = 3 & r = 2

Sn = {a ( 1 - r n )} / ( 1 - r ) > 1500000

put in the values for a, r & find n. you may need logarithms ?


Ohhh okay it makes sense now

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