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Mathematics 9 Online
hhanan:

What is the equation of the sequence given? 2500, -500, 100, -20...

Mercury:

for geometric sequences:\[a_{n}=a_{1}*r^{n-1}\] a1 is the first term (2500) and r is the common ratio. to find the common ratio, simply take any term and divide it by the term before it (ex: if you pick -500, divide by the term before it, which is 2500)

hhanan:

Would it be -0.2

Mercury:

yup, so your r-value is -0.2 (or -1/5 as a fraction)

hhanan:

thank you

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