Question

How do you solve this??

Answer 1

Answer:

$a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.$

Step-by-step explanation:

1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.

2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):

$a_n=-\frac{9}{4}+\frac{1}{4} n.$

3. for n=45:

$a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.$