Question

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

Answer 1

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.