# Common terms question

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#1
Hi! I'm stuck on this question:

'A geometric sequence 𝐺G has first term 8 and common ratio −0.5.
Find an arithmetic sequence that has the same first term and two other terms the same as the corresponding terms of 𝐺G.'

I've got that the geometric sequence is 8, -4, 2, -1, 0.5, . . . but I have no clue how to proceed from here and find an arithmetic sequence that fits those parameters. Any help would be appreciated.
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2 years ago
#2
(Original post by Heidi-Heather)
Hi! I'm stuck on this question:

'A geometric sequence 𝐺G has first term 8 and common ratio −0.5.
Find an arithmetic sequence that has the same first term and two other terms the same as the corresponding terms of 𝐺G.'

I've got that the geometric sequence is 8, -4, 2, -1, 0.5, . . . but I have no clue how to proceed from here and find an arithmetic sequence that fits those parameters. Any help would be appreciated.
I don't think they're looking for an analytical solution, rather trial and error. Being systematic, one turns up very quickly.
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#3
OK, thanks.
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