The next number in the given arithmetic sequence is 33
What is arithmetic sequence ?
In which sequence, the difference between consecutive terms is constant is called arithmetic sequence.
Example : 3, 6, 9, 12, 15, .... it is a arithmetic sequence, where the common difference is 3.
Formula : aₙ = a₁+(n-1)d
where aₙ = nth term of sequence
a₁ = 1st term of sequence, d= common difference between terms
What is the required number ?
The given sequence is, -2, 5, 12, 19, 26, ...
Here, a₁ = -2
d = 12-5 = 19-12 = 7
We have to find the 6th term, so n = 6
Therefore, a₆ = -2+(6-1)7 = -2+35 = 33
Learn more about arithmetic sequence here :
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