Question

If t1 = 4 and tn = tn-1 + negative five-halvesfind the first 4 terms of the sequence

Answer 1

t1 is the first term
saying t1 = 4 means that the first term is 4

Answer 2

tn or \(\large t_{n}\) is the nth term

t(n-1) or \(\large t_{n-1}\) is the term just before the nth term

Answer 3

so what this equation means

\[\Large t_{n} = t_{n-1} + \frac{-5}{2}\]

is that you add on -5/2 to any term to get the next term

Answer 4

how do we find t2 (the second term)?

we add -5/2 to the first term to get 4 + (-5/2) = ??

Answer 5

the answers are a. 4, -1/2, -4, 9/2
b. 4, 1/2, -3, -7/2
c. 4, 1/2, -2, -7/2
d. 4, 3/2, -1, -7/2

Answer 6

what is 4 + (-5/2) equal to

Answer 7

6.5?

Answer 8

right?

Answer 9

the 5/2 is negative, be careful not to lose the negative sign

Answer 10

4 + (-5/2) is the same as saying 4 - (5/2)

Answer 11

oh okay but how do ifind the answer im not sure

Answer 12

what is 4 - (5/2) equal to

Answer 13

you can think of 5/2 as 2.5 if you want

so 4 - (5/2) = 4 - 2.5 = ??

Answer 14

1.5

Answer 15

sorry my notifications are all messed up and I'm just noticing this message

Answer 16

anyways, yes 4 - 2.5 = 1.5

convert 1.5 to a fraction to get 1.5 = 3/2

Answer 17

first term is 4
second term is 3/2

Answer 18

to get the third term, you subtract 5/2 from 3/2

3/2 - 5/2 = ???