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#1
A geometric sequence and an arithmetic sequence both start with a first term of 1. The third term of the arithmetic sequence is the same as the second term of the geometric sequence. The fourth term of the arithmetic sequence is the same as the third term of the geometric sequence. Find the possible values of the common difference of the arithmetic sequence.

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6 years ago
#2
Arithmatic series = a+(n-1)d
Geometric Series = ar^(n-1)

So for both a = 1

then if say say u(n) is arithmatic and g(n) is geometric we can make a couple of equations

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#3
I'm still confused haha!!

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6 years ago
#4
So you can now equate u(3) and g(2) as well as u(4) and g(3) and you then have a pair of equations that you can solve simultaneously.
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#5
(Original post by scottishspells)
So you can now equate u(3) and g(2) as well as u(4) and g(3) and you then have a pair of equations that you can solve simultaneously.
I'll have a go, thanks!

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