Define whether the sequence is arithmetic or geometric. Find next three terms of each sequence. a.

Sovardipk

Sovardipk

Answered question

2022-07-03

Define whether the sequence is arithmetic or geometric. Find next three terms of each sequence.
a. 3 , 6 , 12 , 24 , 48
b. 1 , 9 , 17 , 25 , 33
c. 11 , 17 , 23 , 29 , 35

Answer & Explanation

Alisa Jacobs

Alisa Jacobs

Beginner2022-07-04Added 13 answers

1) Given sequence: 3 , 6 , 12 , 24 , 48 ,
First term: a = 3
Common ratio: r = 6 3 = 12 6 = 24 12 = 2
Thus, the sequence is geometric

Now, find the next three terms:
a n = a r n 1
a 6 = 3 × ( 2 ) 6 1 = 3 × 2 5 = 96
a 7 = 3 × ( 2 ) 7 1 = 3 × 2 6 = 192
a 8 = 3 × ( 2 ) 8 1 = 3 × 2 7 = 384
Thus, the answer is 96 , 192 , 384

2) Given sequence: 1 , 9 , 17 , 25 , 33 ,
First term: a = 1
Common difference: d = 9 1 = 17 9 = 25 17 = 8
Thus, the sequence is arithmetic

Now, find the next three terms:
a 6 = 33 + 8 = 41
a 6 = 41 + 8 = 49
a 8 = 49 + 8 = 57
Therefore, the answer is 41 , 49 , 57

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