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The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term.

User Nefertari
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1 Answer

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22 votes

Answer:

second term: 10

third term: 50

Explanation:

The equation for any geometric sequence is
a_(n) = a_(1) *r^(n-1) where n is the term number you want to find,
a_(1) is the first term in the sequence, and
r is the common ratio. The equation for this sequence specifically uses 5 as its common ratio, so the equation is
a_(n) =2*5^(n-1)


a_(1) = 2*5^(1-1)=2*5^(0) =2*1=2


a_(2) = 2*5^(2-1)=2*5^(1) =2*5=10


a_(3) = 2*5^(3-1)=2*5^(2) =2*25=50


a_(4) = 2*5^(4-1)=2*5^(3) =2*125=250

User Matthew Korporaal
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