Question

PLEASE HELP ASAP!!!

Answer 1

⇒ The general formula of a geometric sequence is
`ar^(n-1)` where a is the first term and r is the common ratio, now in the given a which is 3 and the common ratio r which is 3.

to get the 10th term we use the same general formula

`a_(n) =ar^(n-1)`

where
`T_(n)` is the nth term that is then output and n is the place of the nth term in the general sequence.

For the 10th term we substitute 10 in the place of n and simplify to find the value of the output.

`a_(10) =ar^((10-1)) \\a_(10) =ar^(9) \\`

Now since we know which formula to use to get the 10th term we can substitute the known values of the variables to get the output .

`a_(10) =(3)(3)^(9) \\a_(10) =59049`

goodluck