Write an explicit formula for the sequence and use it to find the eleventh teen in the sequence.

Given:

The sequence is 2, 4, 8, 16,... .

To find:

The explicit formula for the sequence and use it to find the eleventh teen in the sequence.

Solution:

We have,

2, 4, 8, 16,...

It is a GP because the ratio between two consecutive terms are same..

Here,

First term:

Common ratio:

The explicit formula of GP is:

Putting , we get

Put n=11 to find the 11th term of the given sequence.

Therefore, the correct option is D.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

∡ eia and ∡ kij are congruent

step-by-step explanation: