3/4, 1, 5/4 find the 22nd & 43rd terms

6 and 45/4

Step-by-step explanation:

If the first three terms of your sequence are 3/4, 1, 5/4, the first term is obviously 3/4 and the common difference is 1/4. This is an arithmetic sequence.

We can write a general formula for the nth term of this sequence as follows:

a (n) = a (1) + (n-1) (1/4), or, since a (1) = 3/4,

a (n) = 3/4 + (n-1) / 4

Then a (22) = 3/4 + (22-1) / 4, or 3/4 + 21/4, or 24/4, or just 6.

a (43) = 3/4 + (43-1) / 4, or 3/4 + 42/4, or 45/4.