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- anonymous

Find the thirtieth term of the following sequence.
-6, -4, -2, 0, ...
52
64
66

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- anonymous

Find the thirtieth term of the following sequence.
-6, -4, -2, 0, ...
52
64
66

- schrodinger

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- welshfella

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

- anonymous

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

- welshfella

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

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- welshfella

add ing -6 is the same as subtracting 6

- anonymous

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

- anonymous

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

- welshfella

just work out the expression i just wrote

- anonymous

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

- welshfella

what is 30 - 1?

- anonymous

its 52 but why?

- welshfella

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

- welshfella

* -6 + 58 = 52

- anonymous

ok nvrmind thx anyway i still got it right

- welshfella

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....

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