The complete sequence solved by arithmetic progression is 5 8 11 14 17.
The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for such nth term of a AP using this kind of development.
The numbers 5, 8, 11, 14,... belong to the arithmetic progression (AP) since they follow a pattern in which the previous number is added by 3 to get each new number.
nth term = a + (n-1)d
where, a is the initial term (=5)
n is the total terms in the series (=5)
d is the common difference (8-5=3)
Substitute the values in the formula to get the result;
5th term = 5 + (5-1)3
= 5 + (4×3)
5th term = 17
Therefore, the last term (5th term) of the series is 17.
To know more about the arithmetic progression, here
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The correct question is-
What are the missing numbers in the sequence 5 8 11 14 __?