~~ i raised the points and i will give brainliest show your work or tell me how you got your answer it would be really ~~

what is the 48th term in the sequence:
11.5, 19, 26.5, 34, 41.5, . . ?

19 - 11.5 = 7.5

26.5 - 19 = 7.5

Difference = d = 7.5

Formula: an = a1 + d(n-1)

an = 7.5n + 4

See if the above formula is correct:

We know a1 = 19, let's prove it:

a1 = 7.5(1) + 4

a1 = 11.5

Now a2:

a2 = 7.5(2) + 4

a2 = 15 + 4

a2 = 19

Now that we know the above statement is correct, we can find 48th term:

a48 = 7.5(48) + 4

a48 = 364

//Hope it helps.