Which of the following is true? A. The tenth term of the sequence 4, 7, 10, 13, ... is 30.
B
an = 11 + 6n and an =
11, if n = 1
an-1 + 6n, if n > 1
both define the same sequence.
C.
The sum of the first 12 terms of the arithmetic series with a = -5 and a 12 =
23
2
is 39.
O
D
2-1 (3i – 15)
= 450

inch

step-by-step explanation:

yard and mile are too big.

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week