Question

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

Answer 1

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