The sequence using the given description is 2, 5, 10, 17, 26, 35, 48
An arithmetic sequence is defined as an arrangement of numbers which is a particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
In arithmetic sequence d represents the common difference.
Where aₙ is the nth term of the sequence and a₁ is the first term
The first term in the sequence is 2
Given that the terms increase by a consecutive odd number beginning with 3.
According to the condition,
Here odd number is 3 so, next term = 2 + 3 = 5
Here odd number is 5 so, next term = 5 + 5 = 10
Here odd number is 7 so, next term = 10 + 7 = 17
Thus, the sequence using the given description is 2, 5, 10, 17, 26, 35, 48
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