Question

What is the 50th term of the progression 3, 5, 7, 9

Answer 1

Let's find the first term and the common difference of this arithmetic progression.

Here, the first term $a=3$, the common difference $d=5-3=2.$

Then, according to the general form of the arithmetic progression, we get:

$$a_n=a+(n-1)d,$$ $$a_n=3+(n-1)2,$$ $$a_n=2n+1.$$

Finally, we can find the 50-th term of the arithmetic progression:

$$a_n=2\cdot50+1=101.$$

Answer:

$a_n=101.$