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Find the 10th term of the geometric sequence 3, 15, 75…

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Answer: 5859375

Explanation:

3, 15, 75...

75/15=5

15/3=5

Every term multiplied by 5 is the next term. Hence, the equation for this sequence can be expressed as:

y=3*
5^(x-1) ==> y is the term when x is the term number and 3 is the first number in the sequence

Now let's solve for the 10th term:

y=3*
5^(10-1)

y=3*
5^(9)

y=3*1953125

y=5859375

User JayantS
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