Given the sequence 5,8,11,14,17,20,...
C write an explicit formula for the given arithmetic sequence use your explicit formula to find the 50th term of the sequence
The general formula for an arithmetic sequence is given by:
an = a1 + (n - 1)d
Where:
an represents the nth term of the sequence,
a1 represents the first term of the sequence,
n represents the term number,
d represents the common difference between consecutive terms.
In this case, a1 = 5 and d = 8 - 5 = 3.
Plugging these values into the formula, we get:
an = 5 + (n - 1)3
To find the 50th term, we substitute n = 50 into the formula:
a50 = 5 + (50 - 1)3
= 5 + 49 * 3
= 5 + 147
= 152
Therefore, the 50th term of the sequence is 152.