# Maths

Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term of the geometric sequence is 96.Find the first 5 terms of the arithmetic

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1. we can get CD by getting the CR using geometric sequence since the common ratio (CR) & common diff (CD)are the same... so,
A sub 6=A sub 1 r^(n-1)
96=3r^5
r^5=32
r=2-------> CD is also 2

THEN,
the first 5 terms of an arithmetic sequence using CD of 2 are:
3, 5, 7, 9, 11

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2. I know this is 6 years late but whatever

Using the guess and check method I did 3 times 3 but that was too much so I did 2 times 3 until I got to 96 which was the 6th term so if I do 3 plus 2 I can get 3, 5, 7, 9, 11, 14,

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posted by Pugs

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