Question

Find the thirtieth term of the following sequence.

-6, -4, -2, 0, ...

52
64
66

Answer 1

this is an arithmetic series with first term -6 and common difference 2. This means that 2 is added to each term to get the next

the formula for the nth term is

a + d(n - 1)
where a = first term , d = common difference and n = term number

so if you plug in a = -6 , d = 2 and n = 30 into this formula you can work out thr 3oth term

Answer 2

it would have been 60 right but the answers dont say 60

Answer 3

its not 60

you need to calculate

-6 + 2(30-1)

- work out the subtraction in the parentheses first
then multiply by 2
then add -6

Answer 4

add ing -6 is the same as subtracting 6

Answer 5

if its thirty more terms it would be either -60 or 60 depending on which direction you go in

Answer 6

unless it means start at -6 and keep going.?

Answer 7

just work out the expression i just wrote

Answer 8

but at the end of the 0 theres ... like it wants me to go in that direction

Answer 9

what is 30 - 1?

Answer 10

its 52 but why?

Answer 11

-6 + 2(29) = 1-6 + 58 = 52

Answer 12

* -6 + 58 = 52

Answer 13

ok nvrmind thx anyway i still got it right

Answer 14

yw

you can see that it will get up to high positive values pretty quickly

-6 -4 -2 0 2 4 6 8 10 12 14....