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

User MaxwellN
by
7.4k points

1 Answer

1 vote

Answer:

5859375

Explanation:

First, find a common pattern:

15/3 = 5

75/15 = 5

Hence, the common pattern between each term is a multiplier of 5.

Now, solve for the 10th term:

75 is the 3rd term in the sequence:

10 - 3 = 7

5*5*5*5*5*5*5 = ==> multiply five 7 times

5^7 = 78125

Multiply 75 and 78125 to get the 10th term:

75 * 78125 = 5859375

User Apurv Chaudhary
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8.4k points