Find the next three terms in the sequence. 0,1,2,3,...

Find the 20th term of the sequence. ​

Step-by-step explanation:

first term (a) = 0

common difference (d) = 1 - 0 = 1

now,

since, common difference is 1.

the next three terms will be

=》3+1 , 3+1+1 , 3+1+1+1

=》4, 5 , 6

nth term = a + (n-1)d

hence, 15th term = 14

(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

#12 the answer is the third option