Sequences
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ACT Math › Sequences
In the sequence 3, , , 24, what numbers can fill the two blanks so that consecutive terms differ by a common ratio?
6, 12
9, 18
10, 15
10, 17
12, 16
Explanation
If the common ratio is r, then the sequence can be rewritten as 3, 3r, , . We see then that , which gives us that r=2. Therefore, the missing terms are 6 and 12.
In the sequence 3, , , 24, what numbers can fill the two blanks so that consecutive terms differ by a common ratio?
6, 12
9, 18
10, 15
10, 17
12, 16
Explanation
If the common ratio is r, then the sequence can be rewritten as 3, 3r, , . We see then that , which gives us that r=2. Therefore, the missing terms are 6 and 12.
In the sequence 3, , , 24, what numbers can fill the two blanks so that consecutive terms differ by a common ratio?
6, 12
9, 18
10, 15
10, 17
12, 16
Explanation
If the common ratio is r, then the sequence can be rewritten as 3, 3r, , . We see then that , which gives us that r=2. Therefore, the missing terms are 6 and 12.
If four consecutive odd integers greater than 9 are added together, what is the smallest possible sum of those four integers?
Explanation
The 4 consecutive of integers greater than 9 (but not including 9) are 11, 13, 15, 17. Added together, we get 56.
If four consecutive odd integers greater than 9 are added together, what is the smallest possible sum of those four integers?
Explanation
The 4 consecutive of integers greater than 9 (but not including 9) are 11, 13, 15, 17. Added together, we get 56.
If four consecutive odd integers greater than 9 are added together, what is the smallest possible sum of those four integers?
Explanation
The 4 consecutive of integers greater than 9 (but not including 9) are 11, 13, 15, 17. Added together, we get 56.
What is the next term in the sequence:
Explanation
Because it is an arithmetic sequence, the difference between each term is the same. Therefore find out the difference between any two consecutive terms. and so the sequence increases by 5 each term. Thus the answer is
.
What is the th term in the following series of numbers:
?
148
Explanation
Notice that between each of these numbers, there is a difference of . This means that for each element, you will add
. The first element is
or
. The second is
or
, and so forth... Therefore, for the
th element, the value will be
or
.
What is the th term in the following series of numbers:
?
148
Explanation
Notice that between each of these numbers, there is a difference of . This means that for each element, you will add
. The first element is
or
. The second is
or
, and so forth... Therefore, for the
th element, the value will be
or
.
What is the next term in the sequence:
Explanation
Because it is an arithmetic sequence, the difference between each term is the same. Therefore find out the difference between any two consecutive terms. and so the sequence increases by 5 each term. Thus the answer is
.