The first three terms in a pattern are shown in the image below. How many circles would be in the 5th term?
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Answer:
15
Step-by-step explanation:
the pattern is like this
start with 1 then add 2 equals 3
start with 3 then add 3 equals 6
so 6 add 4 equals to 10
and the 5th term will be 10 add 5
equals to 15
Based on the incremental nature of the sequence, we can infer that the 5th term will have 15 circles.
The pattern described above is such that the next consecutive integer is added to the number of circles in the previous term.
For instance:
The 4th term will therefore add 4 circles to the total of 6 circles in the 4th term to make:
= 4 + 6
= 10 circles
The 5th term will then add 5 circles to the 4th term total:
= 10 + 5
= 15 circles
In conclusion, the 5th term will have 15 circles.
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