Pls help need asap :///

the answer should be 5/2

Step-by-step explanation:

in the equation it says a1 = -3/2 so a2 = a(2-1) +1/2 or a1 +1/2

we know a1 which is -3/2 so a2 becomes -3/2 +1/2 = -1

this sequence continues and on a3 you put a2 + 1/2 and so forth what we are technically doing is adding 1/2 every time the function proceeds. so a9 is technically a8 + 1/2.

or you can say -3/2 + 1/2 + 1/2 + 1/2 + 1/2 eight times. in other words a9 is -3/2 + 8x 1/2 or -3/2 + 4. which is 5/2