maths question
The 2nd term of a geometric sequence is 3 +2√3
The 3rd term of the sequence is 19 + 13√3
Find the value of the common ratio of the sequence.
Give your answer in the form a - (√b)/c, where a, b and c are integers.
You must show all your working.
literally what is this 😭 im cooked
any help appreciated!
The 3rd term of the sequence is 19 + 13√3
Find the value of the common ratio of the sequence.
Give your answer in the form a - (√b)/c, where a, b and c are integers.
You must show all your working.
literally what is this 😭 im cooked
any help appreciated!
Reply 1
Original post
by x-wing_pilotThe 2nd term of a geometric sequence is 3 +2√3
The 3rd term of the sequence is 19 + 13√3
Find the value of the common ratio of the sequence.
Give your answer in the form a - (√b)/c, where a, b and c are integers.
You must show all your working.
literally what is this 😭 im cooked
any help appreciated!
The 3rd term of the sequence is 19 + 13√3
Find the value of the common ratio of the sequence.
Give your answer in the form a - (√b)/c, where a, b and c are integers.
You must show all your working.
literally what is this 😭 im cooked
any help appreciated!
What is the common ratio of a GP?
Here's a GP 2, 6, 18, the common ratio is 18/6 = 3 each term is three times the one before.
so the common ratio of your GP is?
Reply 2
15
so it's 19 + 13√3 / 3 +2√3 ?
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
Reply 3
13
Original post
by x-wing_pilotso it's 19 + 13√3 / 3 +2√3 ?
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
https://www.symbolab.com/solver/simplify-calculator/simplify%20%5Cfrac%7B19%2B2%5Csqrt%7B3%7D%7D%7B3%2B2%5Csqrt%7B3%7D%7D?or=input
this is an online calculator, tells you the steps, but essentially, you multiply by 3 - 2√3 / 3 - 2√3 because it's like difference of two squares
this gets rid of the surd in the denominator and you expand the numerator
Reply 4
Original post
by x-wing_pilotso it's 19 + 13√3 / 3 +2√3 ?
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
how do i do that without a calculator... sorry if its a dumb question lol im super bad at maths
You rationalise the denominator ...
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